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Finding the Fourth Proportional to 7,626.47, 11,435.18 and 2,359.92

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Solution

The fourth proportional to 7,626.47, 11,435.18 and 2,359.92 is: 3,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626.47 : 11,435.18 = 2,359.92 : x
  2. Step 2: Convert to fraction form
    7,626.47/11,435.18 = 2,359.92/x
  3. Step 3: Cross multiply
    7,626.47x = 11,435.18 × 2,359.92
  4. Step 4: Simplify right side
    7,626.47x = 26,986,075.50
  5. Step 5: Solve for x
    x = 26,986,075.50/7,626.47
  6. Step 6: Final answer
    x = 3,538.48

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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.