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Finding the Fourth Proportional to 10,178.95, 15,239.67 and 6,472

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Solution

The fourth proportional to 10,178.95, 15,239.67 and 6,472 is: 9,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.95 : 15,239.67 = 6,472 : x
  2. Step 2: Convert to fraction form
    10,178.95/15,239.67 = 6,472/x
  3. Step 3: Cross multiply
    10,178.95x = 15,239.67 × 6,472
  4. Step 4: Simplify right side
    10,178.95x = 98,631,144.24
  5. Step 5: Solve for x
    x = 98,631,144.24/10,178.95
  6. Step 6: Final answer
    x = 9,689.72

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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.