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Finding the Fourth Proportional to 7,782.96, 10,740.40 and 4,246.14

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Solution

The fourth proportional to 7,782.96, 10,740.40 and 4,246.14 is: 5,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.96 : 10,740.40 = 4,246.14 : x
  2. Step 2: Convert to fraction form
    7,782.96/10,740.40 = 4,246.14/x
  3. Step 3: Cross multiply
    7,782.96x = 10,740.40 × 4,246.14
  4. Step 4: Simplify right side
    7,782.96x = 45,605,242.06
  5. Step 5: Solve for x
    x = 45,605,242.06/7,782.96
  6. Step 6: Final answer
    x = 5,859.63

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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.