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Finding the Fourth Proportional to 11,661.85, 16,099.23 and 7,417.18

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Solution

The fourth proportional to 11,661.85, 16,099.23 and 7,417.18 is: 10,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.85 : 16,099.23 = 7,417.18 : x
  2. Step 2: Convert to fraction form
    11,661.85/16,099.23 = 7,417.18/x
  3. Step 3: Cross multiply
    11,661.85x = 16,099.23 × 7,417.18
  4. Step 4: Simplify right side
    11,661.85x = 119,410,886.77
  5. Step 5: Solve for x
    x = 119,410,886.77/11,661.85
  6. Step 6: Final answer
    x = 10,239.45

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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.