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Finding the Fourth Proportional to 10,615.01, 15,934.82 and 5,694.26

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Solution

The fourth proportional to 10,615.01, 15,934.82 and 5,694.26 is: 8,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.01 : 15,934.82 = 5,694.26 : x
  2. Step 2: Convert to fraction form
    10,615.01/15,934.82 = 5,694.26/x
  3. Step 3: Cross multiply
    10,615.01x = 15,934.82 × 5,694.26
  4. Step 4: Simplify right side
    10,615.01x = 90,736,899.99
  5. Step 5: Solve for x
    x = 90,736,899.99/10,615.01
  6. Step 6: Final answer
    x = 8,547.98

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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.