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Finding the Fourth Proportional to 7,910.64, 11,869.24 and 3,466.01

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Solution

The fourth proportional to 7,910.64, 11,869.24 and 3,466.01 is: 5,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.64 : 11,869.24 = 3,466.01 : x
  2. Step 2: Convert to fraction form
    7,910.64/11,869.24 = 3,466.01/x
  3. Step 3: Cross multiply
    7,910.64x = 11,869.24 × 3,466.01
  4. Step 4: Simplify right side
    7,910.64x = 41,138,925.54
  5. Step 5: Solve for x
    x = 41,138,925.54/7,910.64
  6. Step 6: Final answer
    x = 5,200.45

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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.