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Finding the Fourth Proportional to 7,562.80, 10,427.62 and 4,909.24

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Solution

The fourth proportional to 7,562.80, 10,427.62 and 4,909.24 is: 6,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.80 : 10,427.62 = 4,909.24 : x
  2. Step 2: Convert to fraction form
    7,562.80/10,427.62 = 4,909.24/x
  3. Step 3: Cross multiply
    7,562.80x = 10,427.62 × 4,909.24
  4. Step 4: Simplify right side
    7,562.80x = 51,191,612.52
  5. Step 5: Solve for x
    x = 51,191,612.52/7,562.80
  6. Step 6: Final answer
    x = 6,768.87

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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.