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Finding the Fourth Proportional to 12,085.29, 18,125.78 and 7,689.69

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Solution

The fourth proportional to 12,085.29, 18,125.78 and 7,689.69 is: 11,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.29 : 18,125.78 = 7,689.69 : x
  2. Step 2: Convert to fraction form
    12,085.29/18,125.78 = 7,689.69/x
  3. Step 3: Cross multiply
    12,085.29x = 18,125.78 × 7,689.69
  4. Step 4: Simplify right side
    12,085.29x = 139,381,590.76
  5. Step 5: Solve for x
    x = 139,381,590.76/12,085.29
  6. Step 6: Final answer
    x = 11,533.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.