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Finding the Fourth Proportional to 7,109.90, 10,666.04 and 2,178.35

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Solution

The fourth proportional to 7,109.90, 10,666.04 and 2,178.35 is: 3,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.90 : 10,666.04 = 2,178.35 : x
  2. Step 2: Convert to fraction form
    7,109.90/10,666.04 = 2,178.35/x
  3. Step 3: Cross multiply
    7,109.90x = 10,666.04 × 2,178.35
  4. Step 4: Simplify right side
    7,109.90x = 23,234,304.01
  5. Step 5: Solve for x
    x = 23,234,304.01/7,109.90
  6. Step 6: Final answer
    x = 3,267.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.