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Finding the Fourth Proportional to 7,852.01, 11,774.83 and 3,901.86

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Solution

The fourth proportional to 7,852.01, 11,774.83 and 3,901.86 is: 5,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.01 : 11,774.83 = 3,901.86 : x
  2. Step 2: Convert to fraction form
    7,852.01/11,774.83 = 3,901.86/x
  3. Step 3: Cross multiply
    7,852.01x = 11,774.83 × 3,901.86
  4. Step 4: Simplify right side
    7,852.01x = 45,943,724.67
  5. Step 5: Solve for x
    x = 45,943,724.67/7,852.01
  6. Step 6: Final answer
    x = 5,851.20

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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.