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Finding the Fourth Proportional to 8,588.34, 12,870.90 and 5,463.36

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Solution

The fourth proportional to 8,588.34, 12,870.90 and 5,463.36 is: 8,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.34 : 12,870.90 = 5,463.36 : x
  2. Step 2: Convert to fraction form
    8,588.34/12,870.90 = 5,463.36/x
  3. Step 3: Cross multiply
    8,588.34x = 12,870.90 × 5,463.36
  4. Step 4: Simplify right side
    8,588.34x = 70,318,360.22
  5. Step 5: Solve for x
    x = 70,318,360.22/8,588.34
  6. Step 6: Final answer
    x = 8,187.65

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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.