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Finding the Fourth Proportional to 7,454.72, 10,288.32 and 4,661.12

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Solution

The fourth proportional to 7,454.72, 10,288.32 and 4,661.12 is: 6,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.72 : 10,288.32 = 4,661.12 : x
  2. Step 2: Convert to fraction form
    7,454.72/10,288.32 = 4,661.12/x
  3. Step 3: Cross multiply
    7,454.72x = 10,288.32 × 4,661.12
  4. Step 4: Simplify right side
    7,454.72x = 47,955,094.12
  5. Step 5: Solve for x
    x = 47,955,094.12/7,454.72
  6. Step 6: Final answer
    x = 6,432.85

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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.