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Finding the Fourth Proportional to 10,514.72, 15,776.84 and 3,941.40

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Solution

The fourth proportional to 10,514.72, 15,776.84 and 3,941.40 is: 5,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.72 : 15,776.84 = 3,941.40 : x
  2. Step 2: Convert to fraction form
    10,514.72/15,776.84 = 3,941.40/x
  3. Step 3: Cross multiply
    10,514.72x = 15,776.84 × 3,941.40
  4. Step 4: Simplify right side
    10,514.72x = 62,182,837.18
  5. Step 5: Solve for x
    x = 62,182,837.18/10,514.72
  6. Step 6: Final answer
    x = 5,913.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.