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Finding the Fourth Proportional to 7,543.29, 11,252.94 and 6,440.68

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Solution

The fourth proportional to 7,543.29, 11,252.94 and 6,440.68 is: 9,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.29 : 11,252.94 = 6,440.68 : x
  2. Step 2: Convert to fraction form
    7,543.29/11,252.94 = 6,440.68/x
  3. Step 3: Cross multiply
    7,543.29x = 11,252.94 × 6,440.68
  4. Step 4: Simplify right side
    7,543.29x = 72,476,557.47
  5. Step 5: Solve for x
    x = 72,476,557.47/7,543.29
  6. Step 6: Final answer
    x = 9,608.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.