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Finding the Fourth Proportional to 7,807.64, 11,702.21 and 3,639.02

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Solution

The fourth proportional to 7,807.64, 11,702.21 and 3,639.02 is: 5,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.64 : 11,702.21 = 3,639.02 : x
  2. Step 2: Convert to fraction form
    7,807.64/11,702.21 = 3,639.02/x
  3. Step 3: Cross multiply
    7,807.64x = 11,702.21 × 3,639.02
  4. Step 4: Simplify right side
    7,807.64x = 42,584,576.23
  5. Step 5: Solve for x
    x = 42,584,576.23/7,807.64
  6. Step 6: Final answer
    x = 5,454.22

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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.