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Finding the Fourth Proportional to 10,315.52, 14,235.38 and 5,839.16

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Solution

The fourth proportional to 10,315.52, 14,235.38 and 5,839.16 is: 8,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.52 : 14,235.38 = 5,839.16 : x
  2. Step 2: Convert to fraction form
    10,315.52/14,235.38 = 5,839.16/x
  3. Step 3: Cross multiply
    10,315.52x = 14,235.38 × 5,839.16
  4. Step 4: Simplify right side
    10,315.52x = 83,122,661.48
  5. Step 5: Solve for x
    x = 83,122,661.48/10,315.52
  6. Step 6: Final answer
    x = 8,058.02

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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.