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Finding the Fourth Proportional to 8,905.25, 13,292.11 and 7,854.66

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Solution

The fourth proportional to 8,905.25, 13,292.11 and 7,854.66 is: 11,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.25 : 13,292.11 = 7,854.66 : x
  2. Step 2: Convert to fraction form
    8,905.25/13,292.11 = 7,854.66/x
  3. Step 3: Cross multiply
    8,905.25x = 13,292.11 × 7,854.66
  4. Step 4: Simplify right side
    8,905.25x = 104,405,014.55
  5. Step 5: Solve for x
    x = 104,405,014.55/8,905.25
  6. Step 6: Final answer
    x = 11,723.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.