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Finding the Fourth Proportional to 8,264.59, 11,399.97 and 5,432.11

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Solution

The fourth proportional to 8,264.59, 11,399.97 and 5,432.11 is: 7,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.59 : 11,399.97 = 5,432.11 : x
  2. Step 2: Convert to fraction form
    8,264.59/11,399.97 = 5,432.11/x
  3. Step 3: Cross multiply
    8,264.59x = 11,399.97 × 5,432.11
  4. Step 4: Simplify right side
    8,264.59x = 61,925,891.04
  5. Step 5: Solve for x
    x = 61,925,891.04/8,264.59
  6. Step 6: Final answer
    x = 7,492.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.