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Finding the Fourth Proportional to 12,689.37, 17,508.15 and 7,656.57

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Solution

The fourth proportional to 12,689.37, 17,508.15 and 7,656.57 is: 10,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.37 : 17,508.15 = 7,656.57 : x
  2. Step 2: Convert to fraction form
    12,689.37/17,508.15 = 7,656.57/x
  3. Step 3: Cross multiply
    12,689.37x = 17,508.15 × 7,656.57
  4. Step 4: Simplify right side
    12,689.37x = 134,052,376.05
  5. Step 5: Solve for x
    x = 134,052,376.05/12,689.37
  6. Step 6: Final answer
    x = 10,564.15

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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.