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Finding the Fourth Proportional to 7,165.80, 9,888.66 and 4,023

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Solution

The fourth proportional to 7,165.80, 9,888.66 and 4,023 is: 5,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.80 : 9,888.66 = 4,023 : x
  2. Step 2: Convert to fraction form
    7,165.80/9,888.66 = 4,023/x
  3. Step 3: Cross multiply
    7,165.80x = 9,888.66 × 4,023
  4. Step 4: Simplify right side
    7,165.80x = 39,782,079.18
  5. Step 5: Solve for x
    x = 39,782,079.18/7,165.80
  6. Step 6: Final answer
    x = 5,551.66

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Why These Related Problems?

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