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Finding the Fourth Proportional to 10,282.60, 15,416.70 and 4,040.20

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Solution

The fourth proportional to 10,282.60, 15,416.70 and 4,040.20 is: 6,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.60 : 15,416.70 = 4,040.20 : x
  2. Step 2: Convert to fraction form
    10,282.60/15,416.70 = 4,040.20/x
  3. Step 3: Cross multiply
    10,282.60x = 15,416.70 × 4,040.20
  4. Step 4: Simplify right side
    10,282.60x = 62,286,551.34
  5. Step 5: Solve for x
    x = 62,286,551.34/10,282.60
  6. Step 6: Final answer
    x = 6,057.47

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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.