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Finding the Fourth Proportional to 7,868.16, 11,804 and 2,321.44

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Solution

The fourth proportional to 7,868.16, 11,804 and 2,321.44 is: 3,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.16 : 11,804 = 2,321.44 : x
  2. Step 2: Convert to fraction form
    7,868.16/11,804 = 2,321.44/x
  3. Step 3: Cross multiply
    7,868.16x = 11,804 × 2,321.44
  4. Step 4: Simplify right side
    7,868.16x = 27,402,277.76
  5. Step 5: Solve for x
    x = 27,402,277.76/7,868.16
  6. Step 6: Final answer
    x = 3,482.68

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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.