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Finding the Fourth Proportional to 7,804.32, 11,699.52 and 2,872.80

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Solution

The fourth proportional to 7,804.32, 11,699.52 and 2,872.80 is: 4,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.32 : 11,699.52 = 2,872.80 : x
  2. Step 2: Convert to fraction form
    7,804.32/11,699.52 = 2,872.80/x
  3. Step 3: Cross multiply
    7,804.32x = 11,699.52 × 2,872.80
  4. Step 4: Simplify right side
    7,804.32x = 33,610,381.06
  5. Step 5: Solve for x
    x = 33,610,381.06/7,804.32
  6. Step 6: Final answer
    x = 4,306.64

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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.