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Finding the Fourth Proportional to 7,862.93, 10,849.60 and 4,505.09

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Solution

The fourth proportional to 7,862.93, 10,849.60 and 4,505.09 is: 6,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.93 : 10,849.60 = 4,505.09 : x
  2. Step 2: Convert to fraction form
    7,862.93/10,849.60 = 4,505.09/x
  3. Step 3: Cross multiply
    7,862.93x = 10,849.60 × 4,505.09
  4. Step 4: Simplify right side
    7,862.93x = 48,878,440.33
  5. Step 5: Solve for x
    x = 48,878,440.33/7,862.93
  6. Step 6: Final answer
    x = 6,216.32

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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.