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Finding the Fourth Proportional to 10,877, 16,319.16 and 4,636.76

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Solution

The fourth proportional to 10,877, 16,319.16 and 4,636.76 is: 6,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877 : 16,319.16 = 4,636.76 : x
  2. Step 2: Convert to fraction form
    10,877/16,319.16 = 4,636.76/x
  3. Step 3: Cross multiply
    10,877x = 16,319.16 × 4,636.76
  4. Step 4: Simplify right side
    10,877x = 75,668,028.32
  5. Step 5: Solve for x
    x = 75,668,028.32/10,877
  6. Step 6: Final answer
    x = 6,956.70

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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.