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Finding the Fourth Proportional to 7,833.54, 11,741.78 and 2,899.02

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Solution

The fourth proportional to 7,833.54, 11,741.78 and 2,899.02 is: 4,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.54 : 11,741.78 = 2,899.02 : x
  2. Step 2: Convert to fraction form
    7,833.54/11,741.78 = 2,899.02/x
  3. Step 3: Cross multiply
    7,833.54x = 11,741.78 × 2,899.02
  4. Step 4: Simplify right side
    7,833.54x = 34,039,655.06
  5. Step 5: Solve for x
    x = 34,039,655.06/7,833.54
  6. Step 6: Final answer
    x = 4,345.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.