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Finding the Fourth Proportional to 7,790.42, 11,727.72 and 7,112.45

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Solution

The fourth proportional to 7,790.42, 11,727.72 and 7,112.45 is: 10,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.42 : 11,727.72 = 7,112.45 : x
  2. Step 2: Convert to fraction form
    7,790.42/11,727.72 = 7,112.45/x
  3. Step 3: Cross multiply
    7,790.42x = 11,727.72 × 7,112.45
  4. Step 4: Simplify right side
    7,790.42x = 83,412,851.43
  5. Step 5: Solve for x
    x = 83,412,851.43/7,790.42
  6. Step 6: Final answer
    x = 10,707.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.