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Finding the Fourth Proportional to 11,151.40, 15,394.02 and 7,174.72

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Solution

The fourth proportional to 11,151.40, 15,394.02 and 7,174.72 is: 9,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.40 : 15,394.02 = 7,174.72 : x
  2. Step 2: Convert to fraction form
    11,151.40/15,394.02 = 7,174.72/x
  3. Step 3: Cross multiply
    11,151.40x = 15,394.02 × 7,174.72
  4. Step 4: Simplify right side
    11,151.40x = 110,447,783.17
  5. Step 5: Solve for x
    x = 110,447,783.17/11,151.40
  6. Step 6: Final answer
    x = 9,904.39

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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.