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Finding the Fourth Proportional to 6,417.82, 8,854.68 and 5,712.31

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Solution

The fourth proportional to 6,417.82, 8,854.68 and 5,712.31 is: 7,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.82 : 8,854.68 = 5,712.31 : x
  2. Step 2: Convert to fraction form
    6,417.82/8,854.68 = 5,712.31/x
  3. Step 3: Cross multiply
    6,417.82x = 8,854.68 × 5,712.31
  4. Step 4: Simplify right side
    6,417.82x = 50,580,677.11
  5. Step 5: Solve for x
    x = 50,580,677.11/6,417.82
  6. Step 6: Final answer
    x = 7,881.29

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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.