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Finding the Fourth Proportional to 7,986.16, 11,017.84 and 5,000.72

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Solution

The fourth proportional to 7,986.16, 11,017.84 and 5,000.72 is: 6,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.16 : 11,017.84 = 5,000.72 : x
  2. Step 2: Convert to fraction form
    7,986.16/11,017.84 = 5,000.72/x
  3. Step 3: Cross multiply
    7,986.16x = 11,017.84 × 5,000.72
  4. Step 4: Simplify right side
    7,986.16x = 55,097,132.84
  5. Step 5: Solve for x
    x = 55,097,132.84/7,986.16
  6. Step 6: Final answer
    x = 6,899.08

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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.