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Finding the Fourth Proportional to 7,637.70, 11,456.55 and 4,357.20

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Solution

The fourth proportional to 7,637.70, 11,456.55 and 4,357.20 is: 6,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.70 : 11,456.55 = 4,357.20 : x
  2. Step 2: Convert to fraction form
    7,637.70/11,456.55 = 4,357.20/x
  3. Step 3: Cross multiply
    7,637.70x = 11,456.55 × 4,357.20
  4. Step 4: Simplify right side
    7,637.70x = 49,918,479.66
  5. Step 5: Solve for x
    x = 49,918,479.66/7,637.70
  6. Step 6: Final answer
    x = 6,535.80

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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.