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Finding the Fourth Proportional to 7,284.24, 10,060 and 5,724.24

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Solution

The fourth proportional to 7,284.24, 10,060 and 5,724.24 is: 7,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.24 : 10,060 = 5,724.24 : x
  2. Step 2: Convert to fraction form
    7,284.24/10,060 = 5,724.24/x
  3. Step 3: Cross multiply
    7,284.24x = 10,060 × 5,724.24
  4. Step 4: Simplify right side
    7,284.24x = 57,585,854.40
  5. Step 5: Solve for x
    x = 57,585,854.40/7,284.24
  6. Step 6: Final answer
    x = 7,905.54

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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.