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Finding the Fourth Proportional to 7,675.74, 10,592.91 and 4,531.86

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Solution

The fourth proportional to 7,675.74, 10,592.91 and 4,531.86 is: 6,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.74 : 10,592.91 = 4,531.86 : x
  2. Step 2: Convert to fraction form
    7,675.74/10,592.91 = 4,531.86/x
  3. Step 3: Cross multiply
    7,675.74x = 10,592.91 × 4,531.86
  4. Step 4: Simplify right side
    7,675.74x = 48,005,585.11
  5. Step 5: Solve for x
    x = 48,005,585.11/7,675.74
  6. Step 6: Final answer
    x = 6,254.20

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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.