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Finding the Fourth Proportional to 7,066.50, 10,599.76 and 1,872.40

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Solution

The fourth proportional to 7,066.50, 10,599.76 and 1,872.40 is: 2,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.50 : 10,599.76 = 1,872.40 : x
  2. Step 2: Convert to fraction form
    7,066.50/10,599.76 = 1,872.40/x
  3. Step 3: Cross multiply
    7,066.50x = 10,599.76 × 1,872.40
  4. Step 4: Simplify right side
    7,066.50x = 19,846,990.62
  5. Step 5: Solve for x
    x = 19,846,990.62/7,066.50
  6. Step 6: Final answer
    x = 2,808.60

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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.