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Finding the Fourth Proportional to 10,434.32, 14,398.76 and 5,718.64

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Solution

The fourth proportional to 10,434.32, 14,398.76 and 5,718.64 is: 7,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.32 : 14,398.76 = 5,718.64 : x
  2. Step 2: Convert to fraction form
    10,434.32/14,398.76 = 5,718.64/x
  3. Step 3: Cross multiply
    10,434.32x = 14,398.76 × 5,718.64
  4. Step 4: Simplify right side
    10,434.32x = 82,341,324.89
  5. Step 5: Solve for x
    x = 82,341,324.89/10,434.32
  6. Step 6: Final answer
    x = 7,891.39

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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.