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Finding the Fourth Proportional to 10,148.68, 15,223.02 and 6,685.12

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Solution

The fourth proportional to 10,148.68, 15,223.02 and 6,685.12 is: 10,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.68 : 15,223.02 = 6,685.12 : x
  2. Step 2: Convert to fraction form
    10,148.68/15,223.02 = 6,685.12/x
  3. Step 3: Cross multiply
    10,148.68x = 15,223.02 × 6,685.12
  4. Step 4: Simplify right side
    10,148.68x = 101,767,715.46
  5. Step 5: Solve for x
    x = 101,767,715.46/10,148.68
  6. Step 6: Final answer
    x = 10,027.68

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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.