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Finding the Fourth Proportional to 10,577.91, 15,866.99 and 5,031.82

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Solution

The fourth proportional to 10,577.91, 15,866.99 and 5,031.82 is: 7,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.91 : 15,866.99 = 5,031.82 : x
  2. Step 2: Convert to fraction form
    10,577.91/15,866.99 = 5,031.82/x
  3. Step 3: Cross multiply
    10,577.91x = 15,866.99 × 5,031.82
  4. Step 4: Simplify right side
    10,577.91x = 79,839,832.30
  5. Step 5: Solve for x
    x = 79,839,832.30/10,577.91
  6. Step 6: Final answer
    x = 7,547.79

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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.