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Finding the Fourth Proportional to 11,823.68, 16,307.16 and 7,106.96

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Solution

The fourth proportional to 11,823.68, 16,307.16 and 7,106.96 is: 9,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.68 : 16,307.16 = 7,106.96 : x
  2. Step 2: Convert to fraction form
    11,823.68/16,307.16 = 7,106.96/x
  3. Step 3: Cross multiply
    11,823.68x = 16,307.16 × 7,106.96
  4. Step 4: Simplify right side
    11,823.68x = 115,894,333.83
  5. Step 5: Solve for x
    x = 115,894,333.83/11,823.68
  6. Step 6: Final answer
    x = 9,801.88

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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.