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Finding the Fourth Proportional to 10,702.29, 16,048.17 and 6,318.57

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Solution

The fourth proportional to 10,702.29, 16,048.17 and 6,318.57 is: 9,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.29 : 16,048.17 = 6,318.57 : x
  2. Step 2: Convert to fraction form
    10,702.29/16,048.17 = 6,318.57/x
  3. Step 3: Cross multiply
    10,702.29x = 16,048.17 × 6,318.57
  4. Step 4: Simplify right side
    10,702.29x = 101,401,485.52
  5. Step 5: Solve for x
    x = 101,401,485.52/10,702.29
  6. Step 6: Final answer
    x = 9,474.75

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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.