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Finding the Fourth Proportional to 10,053.48, 13,868.10 and 6,321

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Solution

The fourth proportional to 10,053.48, 13,868.10 and 6,321 is: 8,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.48 : 13,868.10 = 6,321 : x
  2. Step 2: Convert to fraction form
    10,053.48/13,868.10 = 6,321/x
  3. Step 3: Cross multiply
    10,053.48x = 13,868.10 × 6,321
  4. Step 4: Simplify right side
    10,053.48x = 87,660,260.10
  5. Step 5: Solve for x
    x = 87,660,260.10/10,053.48
  6. Step 6: Final answer
    x = 8,719.39

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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.