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Finding the Fourth Proportional to 7,675.12, 10,588.08 and 4,986.16

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Solution

The fourth proportional to 7,675.12, 10,588.08 and 4,986.16 is: 6,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.12 : 10,588.08 = 4,986.16 : x
  2. Step 2: Convert to fraction form
    7,675.12/10,588.08 = 4,986.16/x
  3. Step 3: Cross multiply
    7,675.12x = 10,588.08 × 4,986.16
  4. Step 4: Simplify right side
    7,675.12x = 52,793,860.97
  5. Step 5: Solve for x
    x = 52,793,860.97/7,675.12
  6. Step 6: Final answer
    x = 6,878.57

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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.