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Finding the Fourth Proportional to 11,827.54, 16,315.79 and 7,046.11

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Solution

The fourth proportional to 11,827.54, 16,315.79 and 7,046.11 is: 9,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.54 : 16,315.79 = 7,046.11 : x
  2. Step 2: Convert to fraction form
    11,827.54/16,315.79 = 7,046.11/x
  3. Step 3: Cross multiply
    11,827.54x = 16,315.79 × 7,046.11
  4. Step 4: Simplify right side
    11,827.54x = 114,962,851.08
  5. Step 5: Solve for x
    x = 114,962,851.08/11,827.54
  6. Step 6: Final answer
    x = 9,719.93

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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.