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Finding the Fourth Proportional to 11,411.12, 17,117.76 and 4,484

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Solution

The fourth proportional to 11,411.12, 17,117.76 and 4,484 is: 6,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.12 : 17,117.76 = 4,484 : x
  2. Step 2: Convert to fraction form
    11,411.12/17,117.76 = 4,484/x
  3. Step 3: Cross multiply
    11,411.12x = 17,117.76 × 4,484
  4. Step 4: Simplify right side
    11,411.12x = 76,756,035.84
  5. Step 5: Solve for x
    x = 76,756,035.84/11,411.12
  6. Step 6: Final answer
    x = 6,726.42

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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.