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Finding the Fourth Proportional to 7,827.08, 10,799.86 and 5,032.20

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Solution

The fourth proportional to 7,827.08, 10,799.86 and 5,032.20 is: 6,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.08 : 10,799.86 = 5,032.20 : x
  2. Step 2: Convert to fraction form
    7,827.08/10,799.86 = 5,032.20/x
  3. Step 3: Cross multiply
    7,827.08x = 10,799.86 × 5,032.20
  4. Step 4: Simplify right side
    7,827.08x = 54,347,055.49
  5. Step 5: Solve for x
    x = 54,347,055.49/7,827.08
  6. Step 6: Final answer
    x = 6,943.46

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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.