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Finding the Fourth Proportional to 10,171.16, 14,036.42 and 7,192.24

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Solution

The fourth proportional to 10,171.16, 14,036.42 and 7,192.24 is: 9,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.16 : 14,036.42 = 7,192.24 : x
  2. Step 2: Convert to fraction form
    10,171.16/14,036.42 = 7,192.24/x
  3. Step 3: Cross multiply
    10,171.16x = 14,036.42 × 7,192.24
  4. Step 4: Simplify right side
    10,171.16x = 100,953,301.38
  5. Step 5: Solve for x
    x = 100,953,301.38/10,171.16
  6. Step 6: Final answer
    x = 9,925.45

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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.