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Finding the Fourth Proportional to 8,705.40, 13,056.87 and 2,861.25

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Solution

The fourth proportional to 8,705.40, 13,056.87 and 2,861.25 is: 4,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.40 : 13,056.87 = 2,861.25 : x
  2. Step 2: Convert to fraction form
    8,705.40/13,056.87 = 2,861.25/x
  3. Step 3: Cross multiply
    8,705.40x = 13,056.87 × 2,861.25
  4. Step 4: Simplify right side
    8,705.40x = 37,358,969.29
  5. Step 5: Solve for x
    x = 37,358,969.29/8,705.40
  6. Step 6: Final answer
    x = 4,291.47

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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.