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Finding the Fourth Proportional to 8,697.57, 12,002.72 and 5,111.57

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Solution

The fourth proportional to 8,697.57, 12,002.72 and 5,111.57 is: 7,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.57 : 12,002.72 = 5,111.57 : x
  2. Step 2: Convert to fraction form
    8,697.57/12,002.72 = 5,111.57/x
  3. Step 3: Cross multiply
    8,697.57x = 12,002.72 × 5,111.57
  4. Step 4: Simplify right side
    8,697.57x = 61,352,657.90
  5. Step 5: Solve for x
    x = 61,352,657.90/8,697.57
  6. Step 6: Final answer
    x = 7,054.00

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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.