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Finding the Fourth Proportional to 8,152.68, 11,248 and 5,633.89

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Solution

The fourth proportional to 8,152.68, 11,248 and 5,633.89 is: 7,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.68 : 11,248 = 5,633.89 : x
  2. Step 2: Convert to fraction form
    8,152.68/11,248 = 5,633.89/x
  3. Step 3: Cross multiply
    8,152.68x = 11,248 × 5,633.89
  4. Step 4: Simplify right side
    8,152.68x = 63,369,938.48
  5. Step 5: Solve for x
    x = 63,369,938.48/8,152.68
  6. Step 6: Final answer
    x = 7,772.90

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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.