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Finding the Fourth Proportional to 7,562.36, 10,437.52 and 5,177.16

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Solution

The fourth proportional to 7,562.36, 10,437.52 and 5,177.16 is: 7,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.36 : 10,437.52 = 5,177.16 : x
  2. Step 2: Convert to fraction form
    7,562.36/10,437.52 = 5,177.16/x
  3. Step 3: Cross multiply
    7,562.36x = 10,437.52 × 5,177.16
  4. Step 4: Simplify right side
    7,562.36x = 54,036,711.04
  5. Step 5: Solve for x
    x = 54,036,711.04/7,562.36
  6. Step 6: Final answer
    x = 7,145.48

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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.