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Finding the Fourth Proportional to 7,702.50, 10,629.45 and 4,909.62

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Solution

The fourth proportional to 7,702.50, 10,629.45 and 4,909.62 is: 6,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.50 : 10,629.45 = 4,909.62 : x
  2. Step 2: Convert to fraction form
    7,702.50/10,629.45 = 4,909.62/x
  3. Step 3: Cross multiply
    7,702.50x = 10,629.45 × 4,909.62
  4. Step 4: Simplify right side
    7,702.50x = 52,186,560.31
  5. Step 5: Solve for x
    x = 52,186,560.31/7,702.50
  6. Step 6: Final answer
    x = 6,775.28

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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.