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Finding the Fourth Proportional to 7,112.04, 9,810.36 and 5,123.52

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Solution

The fourth proportional to 7,112.04, 9,810.36 and 5,123.52 is: 7,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.04 : 9,810.36 = 5,123.52 : x
  2. Step 2: Convert to fraction form
    7,112.04/9,810.36 = 5,123.52/x
  3. Step 3: Cross multiply
    7,112.04x = 9,810.36 × 5,123.52
  4. Step 4: Simplify right side
    7,112.04x = 50,263,575.67
  5. Step 5: Solve for x
    x = 50,263,575.67/7,112.04
  6. Step 6: Final answer
    x = 7,067.39

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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.