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Finding the Fourth Proportional to 10,387.94, 15,578.04 and 4,146.08

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Solution

The fourth proportional to 10,387.94, 15,578.04 and 4,146.08 is: 6,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.94 : 15,578.04 = 4,146.08 : x
  2. Step 2: Convert to fraction form
    10,387.94/15,578.04 = 4,146.08/x
  3. Step 3: Cross multiply
    10,387.94x = 15,578.04 × 4,146.08
  4. Step 4: Simplify right side
    10,387.94x = 64,587,722.19
  5. Step 5: Solve for x
    x = 64,587,722.19/10,387.94
  6. Step 6: Final answer
    x = 6,217.57

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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.