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Finding the Fourth Proportional to 10,274.91, 15,412.15 and 3,705.40

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Solution

The fourth proportional to 10,274.91, 15,412.15 and 3,705.40 is: 5,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.91 : 15,412.15 = 3,705.40 : x
  2. Step 2: Convert to fraction form
    10,274.91/15,412.15 = 3,705.40/x
  3. Step 3: Cross multiply
    10,274.91x = 15,412.15 × 3,705.40
  4. Step 4: Simplify right side
    10,274.91x = 57,108,180.61
  5. Step 5: Solve for x
    x = 57,108,180.61/10,274.91
  6. Step 6: Final answer
    x = 5,558.02

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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.