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Finding the Fourth Proportional to 11,339.76, 16,984.92 and 5,484

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Solution

The fourth proportional to 11,339.76, 16,984.92 and 5,484 is: 8,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.76 : 16,984.92 = 5,484 : x
  2. Step 2: Convert to fraction form
    11,339.76/16,984.92 = 5,484/x
  3. Step 3: Cross multiply
    11,339.76x = 16,984.92 × 5,484
  4. Step 4: Simplify right side
    11,339.76x = 93,145,301.28
  5. Step 5: Solve for x
    x = 93,145,301.28/11,339.76
  6. Step 6: Final answer
    x = 8,214.05

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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.