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Finding the Fourth Proportional to 10,167.68, 15,252.30 and 3,148.40

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Solution

The fourth proportional to 10,167.68, 15,252.30 and 3,148.40 is: 4,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.68 : 15,252.30 = 3,148.40 : x
  2. Step 2: Convert to fraction form
    10,167.68/15,252.30 = 3,148.40/x
  3. Step 3: Cross multiply
    10,167.68x = 15,252.30 × 3,148.40
  4. Step 4: Simplify right side
    10,167.68x = 48,020,341.32
  5. Step 5: Solve for x
    x = 48,020,341.32/10,167.68
  6. Step 6: Final answer
    x = 4,722.84

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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.