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Finding the Fourth Proportional to 11,833.62, 16,330.47 and 7,117.86

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Solution

The fourth proportional to 11,833.62, 16,330.47 and 7,117.86 is: 9,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.62 : 16,330.47 = 7,117.86 : x
  2. Step 2: Convert to fraction form
    11,833.62/16,330.47 = 7,117.86/x
  3. Step 3: Cross multiply
    11,833.62x = 16,330.47 × 7,117.86
  4. Step 4: Simplify right side
    11,833.62x = 116,237,999.19
  5. Step 5: Solve for x
    x = 116,237,999.19/11,833.62
  6. Step 6: Final answer
    x = 9,822.69

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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.