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Finding the Fourth Proportional to 10,551.17, 15,822.14 and 5,006.10

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Solution

The fourth proportional to 10,551.17, 15,822.14 and 5,006.10 is: 7,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.17 : 15,822.14 = 5,006.10 : x
  2. Step 2: Convert to fraction form
    10,551.17/15,822.14 = 5,006.10/x
  3. Step 3: Cross multiply
    10,551.17x = 15,822.14 × 5,006.10
  4. Step 4: Simplify right side
    10,551.17x = 79,207,190.02
  5. Step 5: Solve for x
    x = 79,207,190.02/10,551.17
  6. Step 6: Final answer
    x = 7,506.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.