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Finding the Fourth Proportional to 8,407.39, 11,603.31 and 5,431.88

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Solution

The fourth proportional to 8,407.39, 11,603.31 and 5,431.88 is: 7,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.39 : 11,603.31 = 5,431.88 : x
  2. Step 2: Convert to fraction form
    8,407.39/11,603.31 = 5,431.88/x
  3. Step 3: Cross multiply
    8,407.39x = 11,603.31 × 5,431.88
  4. Step 4: Simplify right side
    8,407.39x = 63,027,830.11
  5. Step 5: Solve for x
    x = 63,027,830.11/8,407.39
  6. Step 6: Final answer
    x = 7,496.72

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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.