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Finding the Fourth Proportional to 11,353.56, 15,663.34 and 7,159.38

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Solution

The fourth proportional to 11,353.56, 15,663.34 and 7,159.38 is: 9,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.56 : 15,663.34 = 7,159.38 : x
  2. Step 2: Convert to fraction form
    11,353.56/15,663.34 = 7,159.38/x
  3. Step 3: Cross multiply
    11,353.56x = 15,663.34 × 7,159.38
  4. Step 4: Simplify right side
    11,353.56x = 112,139,689.02
  5. Step 5: Solve for x
    x = 112,139,689.02/11,353.56
  6. Step 6: Final answer
    x = 9,877.06

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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.