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Finding the Fourth Proportional to 10,342.53, 14,259.38 and 7,514.01

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Solution

The fourth proportional to 10,342.53, 14,259.38 and 7,514.01 is: 10,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.53 : 14,259.38 = 7,514.01 : x
  2. Step 2: Convert to fraction form
    10,342.53/14,259.38 = 7,514.01/x
  3. Step 3: Cross multiply
    10,342.53x = 14,259.38 × 7,514.01
  4. Step 4: Simplify right side
    10,342.53x = 107,145,086.34
  5. Step 5: Solve for x
    x = 107,145,086.34/10,342.53
  6. Step 6: Final answer
    x = 10,359.66

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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.