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Finding the Fourth Proportional to 7,812.12, 10,769.52 and 5,570.11

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Solution

The fourth proportional to 7,812.12, 10,769.52 and 5,570.11 is: 7,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.12 : 10,769.52 = 5,570.11 : x
  2. Step 2: Convert to fraction form
    7,812.12/10,769.52 = 5,570.11/x
  3. Step 3: Cross multiply
    7,812.12x = 10,769.52 × 5,570.11
  4. Step 4: Simplify right side
    7,812.12x = 59,987,411.05
  5. Step 5: Solve for x
    x = 59,987,411.05/7,812.12
  6. Step 6: Final answer
    x = 7,678.76

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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.