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Finding the Fourth Proportional to 8,702.32, 13,054.42 and 4,261.58

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Solution

The fourth proportional to 8,702.32, 13,054.42 and 4,261.58 is: 6,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.32 : 13,054.42 = 4,261.58 : x
  2. Step 2: Convert to fraction form
    8,702.32/13,054.42 = 4,261.58/x
  3. Step 3: Cross multiply
    8,702.32x = 13,054.42 × 4,261.58
  4. Step 4: Simplify right side
    8,702.32x = 55,632,455.18
  5. Step 5: Solve for x
    x = 55,632,455.18/8,702.32
  6. Step 6: Final answer
    x = 6,392.83

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