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Finding the Fourth Proportional to 10,970.71, 15,139.51 and 6,254.89

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Solution

The fourth proportional to 10,970.71, 15,139.51 and 6,254.89 is: 8,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.71 : 15,139.51 = 6,254.89 : x
  2. Step 2: Convert to fraction form
    10,970.71/15,139.51 = 6,254.89/x
  3. Step 3: Cross multiply
    10,970.71x = 15,139.51 × 6,254.89
  4. Step 4: Simplify right side
    10,970.71x = 94,695,969.70
  5. Step 5: Solve for x
    x = 94,695,969.70/10,970.71
  6. Step 6: Final answer
    x = 8,631.71

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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.