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Finding the Fourth Proportional to 8,460.76, 12,676.56 and 6,587.32

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Solution

The fourth proportional to 8,460.76, 12,676.56 and 6,587.32 is: 9,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.76 : 12,676.56 = 6,587.32 : x
  2. Step 2: Convert to fraction form
    8,460.76/12,676.56 = 6,587.32/x
  3. Step 3: Cross multiply
    8,460.76x = 12,676.56 × 6,587.32
  4. Step 4: Simplify right side
    8,460.76x = 83,504,557.22
  5. Step 5: Solve for x
    x = 83,504,557.22/8,460.76
  6. Step 6: Final answer
    x = 9,869.63

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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.