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Finding the Fourth Proportional to 7,734.60, 11,603.16 and 2,804.76

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Solution

The fourth proportional to 7,734.60, 11,603.16 and 2,804.76 is: 4,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.60 : 11,603.16 = 2,804.76 : x
  2. Step 2: Convert to fraction form
    7,734.60/11,603.16 = 2,804.76/x
  3. Step 3: Cross multiply
    7,734.60x = 11,603.16 × 2,804.76
  4. Step 4: Simplify right side
    7,734.60x = 32,544,079.04
  5. Step 5: Solve for x
    x = 32,544,079.04/7,734.60
  6. Step 6: Final answer
    x = 4,207.60

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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.