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Finding the Fourth Proportional to 7,357.53, 11,034.74 and 2,426.01

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Solution

The fourth proportional to 7,357.53, 11,034.74 and 2,426.01 is: 3,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.53 : 11,034.74 = 2,426.01 : x
  2. Step 2: Convert to fraction form
    7,357.53/11,034.74 = 2,426.01/x
  3. Step 3: Cross multiply
    7,357.53x = 11,034.74 × 2,426.01
  4. Step 4: Simplify right side
    7,357.53x = 26,770,354.27
  5. Step 5: Solve for x
    x = 26,770,354.27/7,357.53
  6. Step 6: Final answer
    x = 3,638.50

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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.