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Finding the Fourth Proportional to 10,320.61, 14,242.61 and 5,844.24

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Solution

The fourth proportional to 10,320.61, 14,242.61 and 5,844.24 is: 8,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.61 : 14,242.61 = 5,844.24 : x
  2. Step 2: Convert to fraction form
    10,320.61/14,242.61 = 5,844.24/x
  3. Step 3: Cross multiply
    10,320.61x = 14,242.61 × 5,844.24
  4. Step 4: Simplify right side
    10,320.61x = 83,237,201.85
  5. Step 5: Solve for x
    x = 83,237,201.85/10,320.61
  6. Step 6: Final answer
    x = 8,065.15

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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.