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Finding the Fourth Proportional to 8,656.46, 11,945.92 and 4,677.57

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Solution

The fourth proportional to 8,656.46, 11,945.92 and 4,677.57 is: 6,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.46 : 11,945.92 = 4,677.57 : x
  2. Step 2: Convert to fraction form
    8,656.46/11,945.92 = 4,677.57/x
  3. Step 3: Cross multiply
    8,656.46x = 11,945.92 × 4,677.57
  4. Step 4: Simplify right side
    8,656.46x = 55,877,877.01
  5. Step 5: Solve for x
    x = 55,877,877.01/8,656.46
  6. Step 6: Final answer
    x = 6,455.05

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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.