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Finding the Fourth Proportional to 7,785.60, 10,753.07 and 5,670.56

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Solution

The fourth proportional to 7,785.60, 10,753.07 and 5,670.56 is: 7,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.60 : 10,753.07 = 5,670.56 : x
  2. Step 2: Convert to fraction form
    7,785.60/10,753.07 = 5,670.56/x
  3. Step 3: Cross multiply
    7,785.60x = 10,753.07 × 5,670.56
  4. Step 4: Simplify right side
    7,785.60x = 60,975,846.50
  5. Step 5: Solve for x
    x = 60,975,846.50/7,785.60
  6. Step 6: Final answer
    x = 7,831.88

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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.