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Finding the Fourth Proportional to 10,324.48, 14,248 and 6,347.84

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Solution

The fourth proportional to 10,324.48, 14,248 and 6,347.84 is: 8,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.48 : 14,248 = 6,347.84 : x
  2. Step 2: Convert to fraction form
    10,324.48/14,248 = 6,347.84/x
  3. Step 3: Cross multiply
    10,324.48x = 14,248 × 6,347.84
  4. Step 4: Simplify right side
    10,324.48x = 90,444,024.32
  5. Step 5: Solve for x
    x = 90,444,024.32/10,324.48
  6. Step 6: Final answer
    x = 8,760.15

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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.