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Finding the Fourth Proportional to 8,901.64, 13,352.32 and 2,661.52

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Solution

The fourth proportional to 8,901.64, 13,352.32 and 2,661.52 is: 3,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.64 : 13,352.32 = 2,661.52 : x
  2. Step 2: Convert to fraction form
    8,901.64/13,352.32 = 2,661.52/x
  3. Step 3: Cross multiply
    8,901.64x = 13,352.32 × 2,661.52
  4. Step 4: Simplify right side
    8,901.64x = 35,537,466.73
  5. Step 5: Solve for x
    x = 35,537,466.73/8,901.64
  6. Step 6: Final answer
    x = 3,992.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.