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Finding the Fourth Proportional to 10,335.93, 14,259.02 and 6,141.75

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Solution

The fourth proportional to 10,335.93, 14,259.02 and 6,141.75 is: 8,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.93 : 14,259.02 = 6,141.75 : x
  2. Step 2: Convert to fraction form
    10,335.93/14,259.02 = 6,141.75/x
  3. Step 3: Cross multiply
    10,335.93x = 14,259.02 × 6,141.75
  4. Step 4: Simplify right side
    10,335.93x = 87,575,305.38
  5. Step 5: Solve for x
    x = 87,575,305.38/10,335.93
  6. Step 6: Final answer
    x = 8,472.90

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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.