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Finding the Fourth Proportional to 11,180.24, 15,428 and 6,704.40

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Solution

The fourth proportional to 11,180.24, 15,428 and 6,704.40 is: 9,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.24 : 15,428 = 6,704.40 : x
  2. Step 2: Convert to fraction form
    11,180.24/15,428 = 6,704.40/x
  3. Step 3: Cross multiply
    11,180.24x = 15,428 × 6,704.40
  4. Step 4: Simplify right side
    11,180.24x = 103,435,483.20
  5. Step 5: Solve for x
    x = 103,435,483.20/11,180.24
  6. Step 6: Final answer
    x = 9,251.63

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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.