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Finding the Fourth Proportional to 10,292.40, 15,440.46 and 7,857.48

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Solution

The fourth proportional to 10,292.40, 15,440.46 and 7,857.48 is: 11,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.40 : 15,440.46 = 7,857.48 : x
  2. Step 2: Convert to fraction form
    10,292.40/15,440.46 = 7,857.48/x
  3. Step 3: Cross multiply
    10,292.40x = 15,440.46 × 7,857.48
  4. Step 4: Simplify right side
    10,292.40x = 121,323,105.64
  5. Step 5: Solve for x
    x = 121,323,105.64/10,292.40
  6. Step 6: Final answer
    x = 11,787.64

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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.