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Finding the Fourth Proportional to 7,862.33, 11,785.64 and 4,353.95

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Solution

The fourth proportional to 7,862.33, 11,785.64 and 4,353.95 is: 6,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.33 : 11,785.64 = 4,353.95 : x
  2. Step 2: Convert to fraction form
    7,862.33/11,785.64 = 4,353.95/x
  3. Step 3: Cross multiply
    7,862.33x = 11,785.64 × 4,353.95
  4. Step 4: Simplify right side
    7,862.33x = 51,314,094.97
  5. Step 5: Solve for x
    x = 51,314,094.97/7,862.33
  6. Step 6: Final answer
    x = 6,526.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.