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Finding the Fourth Proportional to 11,617.95, 16,032.87 and 6,312.81

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Solution

The fourth proportional to 11,617.95, 16,032.87 and 6,312.81 is: 8,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.95 : 16,032.87 = 6,312.81 : x
  2. Step 2: Convert to fraction form
    11,617.95/16,032.87 = 6,312.81/x
  3. Step 3: Cross multiply
    11,617.95x = 16,032.87 × 6,312.81
  4. Step 4: Simplify right side
    11,617.95x = 101,212,462.06
  5. Step 5: Solve for x
    x = 101,212,462.06/11,617.95
  6. Step 6: Final answer
    x = 8,711.73

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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.