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Finding the Fourth Proportional to 7,250.40, 10,005.84 and 4,456.80

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Solution

The fourth proportional to 7,250.40, 10,005.84 and 4,456.80 is: 6,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.40 : 10,005.84 = 4,456.80 : x
  2. Step 2: Convert to fraction form
    7,250.40/10,005.84 = 4,456.80/x
  3. Step 3: Cross multiply
    7,250.40x = 10,005.84 × 4,456.80
  4. Step 4: Simplify right side
    7,250.40x = 44,594,027.71
  5. Step 5: Solve for x
    x = 44,594,027.71/7,250.40
  6. Step 6: Final answer
    x = 6,150.56

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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.