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Finding the Fourth Proportional to 7,702.16, 11,539.35 and 3,545.66

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Solution

The fourth proportional to 7,702.16, 11,539.35 and 3,545.66 is: 5,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.16 : 11,539.35 = 3,545.66 : x
  2. Step 2: Convert to fraction form
    7,702.16/11,539.35 = 3,545.66/x
  3. Step 3: Cross multiply
    7,702.16x = 11,539.35 × 3,545.66
  4. Step 4: Simplify right side
    7,702.16x = 40,914,611.72
  5. Step 5: Solve for x
    x = 40,914,611.72/7,702.16
  6. Step 6: Final answer
    x = 5,312.10

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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.