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Finding the Fourth Proportional to 10,815.48, 14,903.22 and 7,978.38

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Solution

The fourth proportional to 10,815.48, 14,903.22 and 7,978.38 is: 10,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.48 : 14,903.22 = 7,978.38 : x
  2. Step 2: Convert to fraction form
    10,815.48/14,903.22 = 7,978.38/x
  3. Step 3: Cross multiply
    10,815.48x = 14,903.22 × 7,978.38
  4. Step 4: Simplify right side
    10,815.48x = 118,903,552.38
  5. Step 5: Solve for x
    x = 118,903,552.38/10,815.48
  6. Step 6: Final answer
    x = 10,993.83

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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.