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Finding the Fourth Proportional to 11,270.40, 16,862.40 and 7,382.40

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Solution

The fourth proportional to 11,270.40, 16,862.40 and 7,382.40 is: 11,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.40 : 16,862.40 = 7,382.40 : x
  2. Step 2: Convert to fraction form
    11,270.40/16,862.40 = 7,382.40/x
  3. Step 3: Cross multiply
    11,270.40x = 16,862.40 × 7,382.40
  4. Step 4: Simplify right side
    11,270.40x = 124,484,981.76
  5. Step 5: Solve for x
    x = 124,484,981.76/11,270.40
  6. Step 6: Final answer
    x = 11,045.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.