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Finding the Fourth Proportional to 11,785.66, 16,260.14 and 7,307.80

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Solution

The fourth proportional to 11,785.66, 16,260.14 and 7,307.80 is: 10,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.66 : 16,260.14 = 7,307.80 : x
  2. Step 2: Convert to fraction form
    11,785.66/16,260.14 = 7,307.80/x
  3. Step 3: Cross multiply
    11,785.66x = 16,260.14 × 7,307.80
  4. Step 4: Simplify right side
    11,785.66x = 118,825,851.09
  5. Step 5: Solve for x
    x = 118,825,851.09/11,785.66
  6. Step 6: Final answer
    x = 10,082.24

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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.