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Finding the Fourth Proportional to 10,508.40, 14,510.04 and 7,158.24

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Solution

The fourth proportional to 10,508.40, 14,510.04 and 7,158.24 is: 9,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.40 : 14,510.04 = 7,158.24 : x
  2. Step 2: Convert to fraction form
    10,508.40/14,510.04 = 7,158.24/x
  3. Step 3: Cross multiply
    10,508.40x = 14,510.04 × 7,158.24
  4. Step 4: Simplify right side
    10,508.40x = 103,866,348.73
  5. Step 5: Solve for x
    x = 103,866,348.73/10,508.40
  6. Step 6: Final answer
    x = 9,884.13

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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.