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Finding the Fourth Proportional to 10,167.84, 14,032.80 and 6,137.28

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Solution

The fourth proportional to 10,167.84, 14,032.80 and 6,137.28 is: 8,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.84 : 14,032.80 = 6,137.28 : x
  2. Step 2: Convert to fraction form
    10,167.84/14,032.80 = 6,137.28/x
  3. Step 3: Cross multiply
    10,167.84x = 14,032.80 × 6,137.28
  4. Step 4: Simplify right side
    10,167.84x = 86,123,222.78
  5. Step 5: Solve for x
    x = 86,123,222.78/10,167.84
  6. Step 6: Final answer
    x = 8,470.16

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