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Finding the Fourth Proportional to 7,466.54, 10,280.40 and 6,535.04

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Solution

The fourth proportional to 7,466.54, 10,280.40 and 6,535.04 is: 8,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.54 : 10,280.40 = 6,535.04 : x
  2. Step 2: Convert to fraction form
    7,466.54/10,280.40 = 6,535.04/x
  3. Step 3: Cross multiply
    7,466.54x = 10,280.40 × 6,535.04
  4. Step 4: Simplify right side
    7,466.54x = 67,182,825.22
  5. Step 5: Solve for x
    x = 67,182,825.22/7,466.54
  6. Step 6: Final answer
    x = 8,997.85

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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.