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Finding the Fourth Proportional to 10,498.66, 14,487.70 and 5,718.62

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Solution

The fourth proportional to 10,498.66, 14,487.70 and 5,718.62 is: 7,891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.66 : 14,487.70 = 5,718.62 : x
  2. Step 2: Convert to fraction form
    10,498.66/14,487.70 = 5,718.62/x
  3. Step 3: Cross multiply
    10,498.66x = 14,487.70 × 5,718.62
  4. Step 4: Simplify right side
    10,498.66x = 82,849,650.97
  5. Step 5: Solve for x
    x = 82,849,650.97/10,498.66
  6. Step 6: Final answer
    x = 7,891.45

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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.