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Finding the Fourth Proportional to 11,132.84, 15,364.05 and 6,417.43

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Solution

The fourth proportional to 11,132.84, 15,364.05 and 6,417.43 is: 8,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.84 : 15,364.05 = 6,417.43 : x
  2. Step 2: Convert to fraction form
    11,132.84/15,364.05 = 6,417.43/x
  3. Step 3: Cross multiply
    11,132.84x = 15,364.05 × 6,417.43
  4. Step 4: Simplify right side
    11,132.84x = 98,597,715.39
  5. Step 5: Solve for x
    x = 98,597,715.39/11,132.84
  6. Step 6: Final answer
    x = 8,856.47

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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.