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Finding the Fourth Proportional to 10,323.68, 15,487.72 and 2,930.40

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Solution

The fourth proportional to 10,323.68, 15,487.72 and 2,930.40 is: 4,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.68 : 15,487.72 = 2,930.40 : x
  2. Step 2: Convert to fraction form
    10,323.68/15,487.72 = 2,930.40/x
  3. Step 3: Cross multiply
    10,323.68x = 15,487.72 × 2,930.40
  4. Step 4: Simplify right side
    10,323.68x = 45,385,214.69
  5. Step 5: Solve for x
    x = 45,385,214.69/10,323.68
  6. Step 6: Final answer
    x = 4,396.22

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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.