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Finding the Fourth Proportional to 8,444.34, 11,648.52 and 5,925.42

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Solution

The fourth proportional to 8,444.34, 11,648.52 and 5,925.42 is: 8,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.34 : 11,648.52 = 5,925.42 : x
  2. Step 2: Convert to fraction form
    8,444.34/11,648.52 = 5,925.42/x
  3. Step 3: Cross multiply
    8,444.34x = 11,648.52 × 5,925.42
  4. Step 4: Simplify right side
    8,444.34x = 69,022,373.38
  5. Step 5: Solve for x
    x = 69,022,373.38/8,444.34
  6. Step 6: Final answer
    x = 8,173.80

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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.