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Finding the Fourth Proportional to 7,472.06, 10,311.72 and 4,641.00

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Solution

The fourth proportional to 7,472.06, 10,311.72 and 4,641.00 is: 6,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.06 : 10,311.72 = 4,641.00 : x
  2. Step 2: Convert to fraction form
    7,472.06/10,311.72 = 4,641.00/x
  3. Step 3: Cross multiply
    7,472.06x = 10,311.72 × 4,641.00
  4. Step 4: Simplify right side
    7,472.06x = 47,856,642.97
  5. Step 5: Solve for x
    x = 47,856,642.97/7,472.06
  6. Step 6: Final answer
    x = 6,404.75

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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.