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Finding the Fourth Proportional to 11,572.18, 15,969.89 and 7,098.39

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Solution

The fourth proportional to 11,572.18, 15,969.89 and 7,098.39 is: 9,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.18 : 15,969.89 = 7,098.39 : x
  2. Step 2: Convert to fraction form
    11,572.18/15,969.89 = 7,098.39/x
  3. Step 3: Cross multiply
    11,572.18x = 15,969.89 × 7,098.39
  4. Step 4: Simplify right side
    11,572.18x = 113,360,525.22
  5. Step 5: Solve for x
    x = 113,360,525.22/11,572.18
  6. Step 6: Final answer
    x = 9,795.95

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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.