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Finding the Fourth Proportional to 12,115.82, 16,709.53 and 8,345.09

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Solution

The fourth proportional to 12,115.82, 16,709.53 and 8,345.09 is: 11,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.82 : 16,709.53 = 8,345.09 : x
  2. Step 2: Convert to fraction form
    12,115.82/16,709.53 = 8,345.09/x
  3. Step 3: Cross multiply
    12,115.82x = 16,709.53 × 8,345.09
  4. Step 4: Simplify right side
    12,115.82x = 139,442,531.71
  5. Step 5: Solve for x
    x = 139,442,531.71/12,115.82
  6. Step 6: Final answer
    x = 11,509.13

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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.