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Finding the Fourth Proportional to 10,852.73, 14,978.18 and 6,137.95

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Solution

The fourth proportional to 10,852.73, 14,978.18 and 6,137.95 is: 8,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.73 : 14,978.18 = 6,137.95 : x
  2. Step 2: Convert to fraction form
    10,852.73/14,978.18 = 6,137.95/x
  3. Step 3: Cross multiply
    10,852.73x = 14,978.18 × 6,137.95
  4. Step 4: Simplify right side
    10,852.73x = 91,935,214.35
  5. Step 5: Solve for x
    x = 91,935,214.35/10,852.73
  6. Step 6: Final answer
    x = 8,471.16

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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.