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Finding the Fourth Proportional to 10,855.20, 14,980.24 and 6,139.20

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Solution

The fourth proportional to 10,855.20, 14,980.24 and 6,139.20 is: 8,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.20 : 14,980.24 = 6,139.20 : x
  2. Step 2: Convert to fraction form
    10,855.20/14,980.24 = 6,139.20/x
  3. Step 3: Cross multiply
    10,855.20x = 14,980.24 × 6,139.20
  4. Step 4: Simplify right side
    10,855.20x = 91,966,689.41
  5. Step 5: Solve for x
    x = 91,966,689.41/10,855.20
  6. Step 6: Final answer
    x = 8,472.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.