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Finding the Fourth Proportional to 10,702.72, 16,050 and 4,289.40

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Solution

The fourth proportional to 10,702.72, 16,050 and 4,289.40 is: 6,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.72 : 16,050 = 4,289.40 : x
  2. Step 2: Convert to fraction form
    10,702.72/16,050 = 4,289.40/x
  3. Step 3: Cross multiply
    10,702.72x = 16,050 × 4,289.40
  4. Step 4: Simplify right side
    10,702.72x = 68,844,870
  5. Step 5: Solve for x
    x = 68,844,870/10,702.72
  6. Step 6: Final answer
    x = 6,432.46

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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.