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Finding the Fourth Proportional to 10,870.76, 16,312.29 and 4,630.12

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Solution

The fourth proportional to 10,870.76, 16,312.29 and 4,630.12 is: 6,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.76 : 16,312.29 = 4,630.12 : x
  2. Step 2: Convert to fraction form
    10,870.76/16,312.29 = 4,630.12/x
  3. Step 3: Cross multiply
    10,870.76x = 16,312.29 × 4,630.12
  4. Step 4: Simplify right side
    10,870.76x = 75,527,813.50
  5. Step 5: Solve for x
    x = 75,527,813.50/10,870.76
  6. Step 6: Final answer
    x = 6,947.80

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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.