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Finding the Fourth Proportional to 10,816.50, 16,217.46 and 8,702.40

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Solution

The fourth proportional to 10,816.50, 16,217.46 and 8,702.40 is: 13,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.50 : 16,217.46 = 8,702.40 : x
  2. Step 2: Convert to fraction form
    10,816.50/16,217.46 = 8,702.40/x
  3. Step 3: Cross multiply
    10,816.50x = 16,217.46 × 8,702.40
  4. Step 4: Simplify right side
    10,816.50x = 141,130,823.90
  5. Step 5: Solve for x
    x = 141,130,823.90/10,816.50
  6. Step 6: Final answer
    x = 13,047.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.