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Finding the Fourth Proportional to 7,782.59, 10,740.02 and 4,245.72

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Solution

The fourth proportional to 7,782.59, 10,740.02 and 4,245.72 is: 5,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.59 : 10,740.02 = 4,245.72 : x
  2. Step 2: Convert to fraction form
    7,782.59/10,740.02 = 4,245.72/x
  3. Step 3: Cross multiply
    7,782.59x = 10,740.02 × 4,245.72
  4. Step 4: Simplify right side
    7,782.59x = 45,599,096.49
  5. Step 5: Solve for x
    x = 45,599,096.49/7,782.59
  6. Step 6: Final answer
    x = 5,859.12

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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.