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Finding the Fourth Proportional to 7,784.97, 10,739.98 and 5,428.47

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Solution

The fourth proportional to 7,784.97, 10,739.98 and 5,428.47 is: 7,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.97 : 10,739.98 = 5,428.47 : x
  2. Step 2: Convert to fraction form
    7,784.97/10,739.98 = 5,428.47/x
  3. Step 3: Cross multiply
    7,784.97x = 10,739.98 × 5,428.47
  4. Step 4: Simplify right side
    7,784.97x = 58,301,685.93
  5. Step 5: Solve for x
    x = 58,301,685.93/7,784.97
  6. Step 6: Final answer
    x = 7,489.01

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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.