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Finding the Fourth Proportional to 10,760.51, 14,844.38 and 7,177.13

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Solution

The fourth proportional to 10,760.51, 14,844.38 and 7,177.13 is: 9,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.51 : 14,844.38 = 7,177.13 : x
  2. Step 2: Convert to fraction form
    10,760.51/14,844.38 = 7,177.13/x
  3. Step 3: Cross multiply
    10,760.51x = 14,844.38 × 7,177.13
  4. Step 4: Simplify right side
    10,760.51x = 106,539,988.75
  5. Step 5: Solve for x
    x = 106,539,988.75/10,760.51
  6. Step 6: Final answer
    x = 9,901.01

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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.