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Finding the Fourth Proportional to 10,581.16, 15,873 and 4,012.24

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Solution

The fourth proportional to 10,581.16, 15,873 and 4,012.24 is: 6,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.16 : 15,873 = 4,012.24 : x
  2. Step 2: Convert to fraction form
    10,581.16/15,873 = 4,012.24/x
  3. Step 3: Cross multiply
    10,581.16x = 15,873 × 4,012.24
  4. Step 4: Simplify right side
    10,581.16x = 63,686,285.52
  5. Step 5: Solve for x
    x = 63,686,285.52/10,581.16
  6. Step 6: Final answer
    x = 6,018.84

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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.