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Finding the Fourth Proportional to 7,531.60, 10,397.54 and 5,849.22

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Solution

The fourth proportional to 7,531.60, 10,397.54 and 5,849.22 is: 8,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.60 : 10,397.54 = 5,849.22 : x
  2. Step 2: Convert to fraction form
    7,531.60/10,397.54 = 5,849.22/x
  3. Step 3: Cross multiply
    7,531.60x = 10,397.54 × 5,849.22
  4. Step 4: Simplify right side
    7,531.60x = 60,817,498.92
  5. Step 5: Solve for x
    x = 60,817,498.92/7,531.60
  6. Step 6: Final answer
    x = 8,074.98

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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.