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Finding the Fourth Proportional to 7,357.34, 11,036.00 and 2,974.80

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Solution

The fourth proportional to 7,357.34, 11,036.00 and 2,974.80 is: 4,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.34 : 11,036.00 = 2,974.80 : x
  2. Step 2: Convert to fraction form
    7,357.34/11,036.00 = 2,974.80/x
  3. Step 3: Cross multiply
    7,357.34x = 11,036.00 × 2,974.80
  4. Step 4: Simplify right side
    7,357.34x = 32,829,877.93
  5. Step 5: Solve for x
    x = 32,829,877.93/7,357.34
  6. Step 6: Final answer
    x = 4,462.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.