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Finding the Fourth Proportional to 8,705.72, 13,041.56 and 6,954.30

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Solution

The fourth proportional to 8,705.72, 13,041.56 and 6,954.30 is: 10,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.72 : 13,041.56 = 6,954.30 : x
  2. Step 2: Convert to fraction form
    8,705.72/13,041.56 = 6,954.30/x
  3. Step 3: Cross multiply
    8,705.72x = 13,041.56 × 6,954.30
  4. Step 4: Simplify right side
    8,705.72x = 90,694,920.71
  5. Step 5: Solve for x
    x = 90,694,920.71/8,705.72
  6. Step 6: Final answer
    x = 10,417.85

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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.