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Finding the Fourth Proportional to 11,277.42, 15,559.92 and 7,292.22

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Solution

The fourth proportional to 11,277.42, 15,559.92 and 7,292.22 is: 10,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.42 : 15,559.92 = 7,292.22 : x
  2. Step 2: Convert to fraction form
    11,277.42/15,559.92 = 7,292.22/x
  3. Step 3: Cross multiply
    11,277.42x = 15,559.92 × 7,292.22
  4. Step 4: Simplify right side
    11,277.42x = 113,466,359.82
  5. Step 5: Solve for x
    x = 113,466,359.82/11,277.42
  6. Step 6: Final answer
    x = 10,061.38

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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.