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Finding the Fourth Proportional to 7,166.61, 10,730.48 and 6,281.01

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Solution

The fourth proportional to 7,166.61, 10,730.48 and 6,281.01 is: 9,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.61 : 10,730.48 = 6,281.01 : x
  2. Step 2: Convert to fraction form
    7,166.61/10,730.48 = 6,281.01/x
  3. Step 3: Cross multiply
    7,166.61x = 10,730.48 × 6,281.01
  4. Step 4: Simplify right side
    7,166.61x = 67,398,220.78
  5. Step 5: Solve for x
    x = 67,398,220.78/7,166.61
  6. Step 6: Final answer
    x = 9,404.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.