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Finding the Fourth Proportional to 10,598.52, 15,887.16 and 5,317.44

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Solution

The fourth proportional to 10,598.52, 15,887.16 and 5,317.44 is: 7,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.52 : 15,887.16 = 5,317.44 : x
  2. Step 2: Convert to fraction form
    10,598.52/15,887.16 = 5,317.44/x
  3. Step 3: Cross multiply
    10,598.52x = 15,887.16 × 5,317.44
  4. Step 4: Simplify right side
    10,598.52x = 84,479,020.07
  5. Step 5: Solve for x
    x = 84,479,020.07/10,598.52
  6. Step 6: Final answer
    x = 7,970.83

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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.