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Finding the Fourth Proportional to 7,767.50, 10,719.03 and 4,230.63

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Solution

The fourth proportional to 7,767.50, 10,719.03 and 4,230.63 is: 5,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.50 : 10,719.03 = 4,230.63 : x
  2. Step 2: Convert to fraction form
    7,767.50/10,719.03 = 4,230.63/x
  3. Step 3: Cross multiply
    7,767.50x = 10,719.03 × 4,230.63
  4. Step 4: Simplify right side
    7,767.50x = 45,348,265.75
  5. Step 5: Solve for x
    x = 45,348,265.75/7,767.50
  6. Step 6: Final answer
    x = 5,838.21

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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.