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Finding the Fourth Proportional to 7,675, 10,587.18 and 5,021.80

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Solution

The fourth proportional to 7,675, 10,587.18 and 5,021.80 is: 6,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675 : 10,587.18 = 5,021.80 : x
  2. Step 2: Convert to fraction form
    7,675/10,587.18 = 5,021.80/x
  3. Step 3: Cross multiply
    7,675x = 10,587.18 × 5,021.80
  4. Step 4: Simplify right side
    7,675x = 53,166,700.52
  5. Step 5: Solve for x
    x = 53,166,700.52/7,675
  6. Step 6: Final answer
    x = 6,927.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.