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Finding the Fourth Proportional to 7,689.12, 11,533.20 and 3,068.80

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Solution

The fourth proportional to 7,689.12, 11,533.20 and 3,068.80 is: 4,603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.12 : 11,533.20 = 3,068.80 : x
  2. Step 2: Convert to fraction form
    7,689.12/11,533.20 = 3,068.80/x
  3. Step 3: Cross multiply
    7,689.12x = 11,533.20 × 3,068.80
  4. Step 4: Simplify right side
    7,689.12x = 35,393,084.16
  5. Step 5: Solve for x
    x = 35,393,084.16/7,689.12
  6. Step 6: Final answer
    x = 4,603.01

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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.