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Finding the Fourth Proportional to 7,785.15, 11,729.73 and 7,045.76

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Solution

The fourth proportional to 7,785.15, 11,729.73 and 7,045.76 is: 10,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.15 : 11,729.73 = 7,045.76 : x
  2. Step 2: Convert to fraction form
    7,785.15/11,729.73 = 7,045.76/x
  3. Step 3: Cross multiply
    7,785.15x = 11,729.73 × 7,045.76
  4. Step 4: Simplify right side
    7,785.15x = 82,644,803.80
  5. Step 5: Solve for x
    x = 82,644,803.80/7,785.15
  6. Step 6: Final answer
    x = 10,615.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.