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Finding the Fourth Proportional to 8,440.40, 11,651.72 and 6,292.32

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Solution

The fourth proportional to 8,440.40, 11,651.72 and 6,292.32 is: 8,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.40 : 11,651.72 = 6,292.32 : x
  2. Step 2: Convert to fraction form
    8,440.40/11,651.72 = 6,292.32/x
  3. Step 3: Cross multiply
    8,440.40x = 11,651.72 × 6,292.32
  4. Step 4: Simplify right side
    8,440.40x = 73,316,350.79
  5. Step 5: Solve for x
    x = 73,316,350.79/8,440.40
  6. Step 6: Final answer
    x = 8,686.36

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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.