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Finding the Fourth Proportional to 7,901.65, 11,826.76 and 5,820.84

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Solution

The fourth proportional to 7,901.65, 11,826.76 and 5,820.84 is: 8,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.65 : 11,826.76 = 5,820.84 : x
  2. Step 2: Convert to fraction form
    7,901.65/11,826.76 = 5,820.84/x
  3. Step 3: Cross multiply
    7,901.65x = 11,826.76 × 5,820.84
  4. Step 4: Simplify right side
    7,901.65x = 68,841,648.11
  5. Step 5: Solve for x
    x = 68,841,648.11/7,901.65
  6. Step 6: Final answer
    x = 8,712.31

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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.