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Finding the Fourth Proportional to 7,725.18, 10,655.12 and 4,893.02

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Solution

The fourth proportional to 7,725.18, 10,655.12 and 4,893.02 is: 6,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.18 : 10,655.12 = 4,893.02 : x
  2. Step 2: Convert to fraction form
    7,725.18/10,655.12 = 4,893.02/x
  3. Step 3: Cross multiply
    7,725.18x = 10,655.12 × 4,893.02
  4. Step 4: Simplify right side
    7,725.18x = 52,135,637.52
  5. Step 5: Solve for x
    x = 52,135,637.52/7,725.18
  6. Step 6: Final answer
    x = 6,748.79

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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.