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Finding the Fourth Proportional to 7,407.62, 10,225.14 and 6,532.82

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Solution

The fourth proportional to 7,407.62, 10,225.14 and 6,532.82 is: 9,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.62 : 10,225.14 = 6,532.82 : x
  2. Step 2: Convert to fraction form
    7,407.62/10,225.14 = 6,532.82/x
  3. Step 3: Cross multiply
    7,407.62x = 10,225.14 × 6,532.82
  4. Step 4: Simplify right side
    7,407.62x = 66,798,999.09
  5. Step 5: Solve for x
    x = 66,798,999.09/7,407.62
  6. Step 6: Final answer
    x = 9,017.61

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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.