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Finding the Fourth Proportional to 7,702.32, 11,555.23 and 2,437.66

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Solution

The fourth proportional to 7,702.32, 11,555.23 and 2,437.66 is: 3,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.32 : 11,555.23 = 2,437.66 : x
  2. Step 2: Convert to fraction form
    7,702.32/11,555.23 = 2,437.66/x
  3. Step 3: Cross multiply
    7,702.32x = 11,555.23 × 2,437.66
  4. Step 4: Simplify right side
    7,702.32x = 28,167,721.96
  5. Step 5: Solve for x
    x = 28,167,721.96/7,702.32
  6. Step 6: Final answer
    x = 3,657.04

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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.