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Finding the Fourth Proportional to 10,298.66, 14,211.59 and 5,822.13

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Solution

The fourth proportional to 10,298.66, 14,211.59 and 5,822.13 is: 8,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.66 : 14,211.59 = 5,822.13 : x
  2. Step 2: Convert to fraction form
    10,298.66/14,211.59 = 5,822.13/x
  3. Step 3: Cross multiply
    10,298.66x = 14,211.59 × 5,822.13
  4. Step 4: Simplify right side
    10,298.66x = 82,741,695.38
  5. Step 5: Solve for x
    x = 82,741,695.38/10,298.66
  6. Step 6: Final answer
    x = 8,034.22

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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.