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Finding the Fourth Proportional to 11,098.53, 15,316.01 and 6,382.50

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Solution

The fourth proportional to 11,098.53, 15,316.01 and 6,382.50 is: 8,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.53 : 15,316.01 = 6,382.50 : x
  2. Step 2: Convert to fraction form
    11,098.53/15,316.01 = 6,382.50/x
  3. Step 3: Cross multiply
    11,098.53x = 15,316.01 × 6,382.50
  4. Step 4: Simplify right side
    11,098.53x = 97,754,401.91
  5. Step 5: Solve for x
    x = 97,754,401.91/11,098.53
  6. Step 6: Final answer
    x = 8,807.87

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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.