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Finding the Fourth Proportional to 11,452.42, 15,807.45 and 6,738.22

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Solution

The fourth proportional to 11,452.42, 15,807.45 and 6,738.22 is: 9,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.42 : 15,807.45 = 6,738.22 : x
  2. Step 2: Convert to fraction form
    11,452.42/15,807.45 = 6,738.22/x
  3. Step 3: Cross multiply
    11,452.42x = 15,807.45 × 6,738.22
  4. Step 4: Simplify right side
    11,452.42x = 106,514,075.74
  5. Step 5: Solve for x
    x = 106,514,075.74/11,452.42
  6. Step 6: Final answer
    x = 9,300.57

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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.