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Finding the Fourth Proportional to 10,711.44, 16,068.98 and 4,868.51

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Solution

The fourth proportional to 10,711.44, 16,068.98 and 4,868.51 is: 7,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.44 : 16,068.98 = 4,868.51 : x
  2. Step 2: Convert to fraction form
    10,711.44/16,068.98 = 4,868.51/x
  3. Step 3: Cross multiply
    10,711.44x = 16,068.98 × 4,868.51
  4. Step 4: Simplify right side
    10,711.44x = 78,231,921.65
  5. Step 5: Solve for x
    x = 78,231,921.65/10,711.44
  6. Step 6: Final answer
    x = 7,303.59

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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.