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Finding the Fourth Proportional to 8,931.50, 13,405.52 and 4,552.22

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Solution

The fourth proportional to 8,931.50, 13,405.52 and 4,552.22 is: 6,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.50 : 13,405.52 = 4,552.22 : x
  2. Step 2: Convert to fraction form
    8,931.50/13,405.52 = 4,552.22/x
  3. Step 3: Cross multiply
    8,931.50x = 13,405.52 × 4,552.22
  4. Step 4: Simplify right side
    8,931.50x = 61,024,876.25
  5. Step 5: Solve for x
    x = 61,024,876.25/8,931.50
  6. Step 6: Final answer
    x = 6,832.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.