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Finding the Fourth Proportional to 10,157.92, 15,242.70 and 5,477.91

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Solution

The fourth proportional to 10,157.92, 15,242.70 and 5,477.91 is: 8,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.92 : 15,242.70 = 5,477.91 : x
  2. Step 2: Convert to fraction form
    10,157.92/15,242.70 = 5,477.91/x
  3. Step 3: Cross multiply
    10,157.92x = 15,242.70 × 5,477.91
  4. Step 4: Simplify right side
    10,157.92x = 83,498,100.65
  5. Step 5: Solve for x
    x = 83,498,100.65/10,157.92
  6. Step 6: Final answer
    x = 8,220.00

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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.