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Finding the Fourth Proportional to 10,553.40, 15,830.62 and 3,157.92

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Solution

The fourth proportional to 10,553.40, 15,830.62 and 3,157.92 is: 4,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.40 : 15,830.62 = 3,157.92 : x
  2. Step 2: Convert to fraction form
    10,553.40/15,830.62 = 3,157.92/x
  3. Step 3: Cross multiply
    10,553.40x = 15,830.62 × 3,157.92
  4. Step 4: Simplify right side
    10,553.40x = 49,991,831.51
  5. Step 5: Solve for x
    x = 49,991,831.51/10,553.40
  6. Step 6: Final answer
    x = 4,737.04

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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.