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Finding the Fourth Proportional to 8,411.12, 11,599.80 and 5,267.60

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Solution

The fourth proportional to 8,411.12, 11,599.80 and 5,267.60 is: 7,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.12 : 11,599.80 = 5,267.60 : x
  2. Step 2: Convert to fraction form
    8,411.12/11,599.80 = 5,267.60/x
  3. Step 3: Cross multiply
    8,411.12x = 11,599.80 × 5,267.60
  4. Step 4: Simplify right side
    8,411.12x = 61,103,106.48
  5. Step 5: Solve for x
    x = 61,103,106.48/8,411.12
  6. Step 6: Final answer
    x = 7,264.56

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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.