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Finding the Fourth Proportional to 8,870.34, 13,302.81 and 3,675

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Solution

The fourth proportional to 8,870.34, 13,302.81 and 3,675 is: 5,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,870.34 : 13,302.81 = 3,675 : x
  2. Step 2: Convert to fraction form
    8,870.34/13,302.81 = 3,675/x
  3. Step 3: Cross multiply
    8,870.34x = 13,302.81 × 3,675
  4. Step 4: Simplify right side
    8,870.34x = 48,887,826.75
  5. Step 5: Solve for x
    x = 48,887,826.75/8,870.34
  6. Step 6: Final answer
    x = 5,511.38

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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.