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Finding the Fourth Proportional to 11,574, 15,972.43 and 7,095.17

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Solution

The fourth proportional to 11,574, 15,972.43 and 7,095.17 is: 9,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574 : 15,972.43 = 7,095.17 : x
  2. Step 2: Convert to fraction form
    11,574/15,972.43 = 7,095.17/x
  3. Step 3: Cross multiply
    11,574x = 15,972.43 × 7,095.17
  4. Step 4: Simplify right side
    11,574x = 113,327,106.16
  5. Step 5: Solve for x
    x = 113,327,106.16/11,574
  6. Step 6: Final answer
    x = 9,791.52

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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.