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Finding the Fourth Proportional to 11,564.46, 15,959 and 6,259.28

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Solution

The fourth proportional to 11,564.46, 15,959 and 6,259.28 is: 8,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.46 : 15,959 = 6,259.28 : x
  2. Step 2: Convert to fraction form
    11,564.46/15,959 = 6,259.28/x
  3. Step 3: Cross multiply
    11,564.46x = 15,959 × 6,259.28
  4. Step 4: Simplify right side
    11,564.46x = 99,891,849.52
  5. Step 5: Solve for x
    x = 99,891,849.52/11,564.46
  6. Step 6: Final answer
    x = 8,637.83

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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.