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Finding the Fourth Proportional to 10,965.77, 15,131.84 and 6,488.74

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Solution

The fourth proportional to 10,965.77, 15,131.84 and 6,488.74 is: 8,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.77 : 15,131.84 = 6,488.74 : x
  2. Step 2: Convert to fraction form
    10,965.77/15,131.84 = 6,488.74/x
  3. Step 3: Cross multiply
    10,965.77x = 15,131.84 × 6,488.74
  4. Step 4: Simplify right side
    10,965.77x = 98,186,467.38
  5. Step 5: Solve for x
    x = 98,186,467.38/10,965.77
  6. Step 6: Final answer
    x = 8,953.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.