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Finding the Fourth Proportional to 7,702.37, 11,553.53 and 2,437.90

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Solution

The fourth proportional to 7,702.37, 11,553.53 and 2,437.90 is: 3,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.37 : 11,553.53 = 2,437.90 : x
  2. Step 2: Convert to fraction form
    7,702.37/11,553.53 = 2,437.90/x
  3. Step 3: Cross multiply
    7,702.37x = 11,553.53 × 2,437.90
  4. Step 4: Simplify right side
    7,702.37x = 28,166,350.79
  5. Step 5: Solve for x
    x = 28,166,350.79/7,702.37
  6. Step 6: Final answer
    x = 3,656.84

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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.