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Finding the Fourth Proportional to 7,673.70, 11,510.55 and 5,340.90

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Solution

The fourth proportional to 7,673.70, 11,510.55 and 5,340.90 is: 8,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.70 : 11,510.55 = 5,340.90 : x
  2. Step 2: Convert to fraction form
    7,673.70/11,510.55 = 5,340.90/x
  3. Step 3: Cross multiply
    7,673.70x = 11,510.55 × 5,340.90
  4. Step 4: Simplify right side
    7,673.70x = 61,476,696.50
  5. Step 5: Solve for x
    x = 61,476,696.50/7,673.70
  6. Step 6: Final answer
    x = 8,011.35

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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.