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Finding the Fourth Proportional to 10,852.38, 14,978.52 and 10,113.66

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Solution

The fourth proportional to 10,852.38, 14,978.52 and 10,113.66 is: 13,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.38 : 14,978.52 = 10,113.66 : x
  2. Step 2: Convert to fraction form
    10,852.38/14,978.52 = 10,113.66/x
  3. Step 3: Cross multiply
    10,852.38x = 14,978.52 × 10,113.66
  4. Step 4: Simplify right side
    10,852.38x = 151,487,658.58
  5. Step 5: Solve for x
    x = 151,487,658.58/10,852.38
  6. Step 6: Final answer
    x = 13,958.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.