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Finding the Fourth Proportional to 7,833.52, 11,750.26 and 1,910.40

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Solution

The fourth proportional to 7,833.52, 11,750.26 and 1,910.40 is: 2,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.52 : 11,750.26 = 1,910.40 : x
  2. Step 2: Convert to fraction form
    7,833.52/11,750.26 = 1,910.40/x
  3. Step 3: Cross multiply
    7,833.52x = 11,750.26 × 1,910.40
  4. Step 4: Simplify right side
    7,833.52x = 22,447,696.70
  5. Step 5: Solve for x
    x = 22,447,696.70/7,833.52
  6. Step 6: Final answer
    x = 2,865.60

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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.