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Finding the Fourth Proportional to 10,553.64, 15,817.08 and 5,290.68

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Solution

The fourth proportional to 10,553.64, 15,817.08 and 5,290.68 is: 7,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.64 : 15,817.08 = 5,290.68 : x
  2. Step 2: Convert to fraction form
    10,553.64/15,817.08 = 5,290.68/x
  3. Step 3: Cross multiply
    10,553.64x = 15,817.08 × 5,290.68
  4. Step 4: Simplify right side
    10,553.64x = 83,683,108.81
  5. Step 5: Solve for x
    x = 83,683,108.81/10,553.64
  6. Step 6: Final answer
    x = 7,929.31

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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.