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Finding the Fourth Proportional to 8,335.60, 11,503.84 and 5,192.24

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Solution

The fourth proportional to 8,335.60, 11,503.84 and 5,192.24 is: 7,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.60 : 11,503.84 = 5,192.24 : x
  2. Step 2: Convert to fraction form
    8,335.60/11,503.84 = 5,192.24/x
  3. Step 3: Cross multiply
    8,335.60x = 11,503.84 × 5,192.24
  4. Step 4: Simplify right side
    8,335.60x = 59,730,698.20
  5. Step 5: Solve for x
    x = 59,730,698.20/8,335.60
  6. Step 6: Final answer
    x = 7,165.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.