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Finding the Fourth Proportional to 11,556.17, 15,947.64 and 7,017.53

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Solution

The fourth proportional to 11,556.17, 15,947.64 and 7,017.53 is: 9,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.17 : 15,947.64 = 7,017.53 : x
  2. Step 2: Convert to fraction form
    11,556.17/15,947.64 = 7,017.53/x
  3. Step 3: Cross multiply
    11,556.17x = 15,947.64 × 7,017.53
  4. Step 4: Simplify right side
    11,556.17x = 111,913,042.13
  5. Step 5: Solve for x
    x = 111,913,042.13/11,556.17
  6. Step 6: Final answer
    x = 9,684.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.