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Finding the Fourth Proportional to 7,191.50, 10,784.15 and 2,510.10

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Solution

The fourth proportional to 7,191.50, 10,784.15 and 2,510.10 is: 3,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.50 : 10,784.15 = 2,510.10 : x
  2. Step 2: Convert to fraction form
    7,191.50/10,784.15 = 2,510.10/x
  3. Step 3: Cross multiply
    7,191.50x = 10,784.15 × 2,510.10
  4. Step 4: Simplify right side
    7,191.50x = 27,069,291.78
  5. Step 5: Solve for x
    x = 27,069,291.78/7,191.50
  6. Step 6: Final answer
    x = 3,764.07

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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.