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Finding the Fourth Proportional to 7,095.64, 10,643.46 and 3,201.16

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Solution

The fourth proportional to 7,095.64, 10,643.46 and 3,201.16 is: 4,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.64 : 10,643.46 = 3,201.16 : x
  2. Step 2: Convert to fraction form
    7,095.64/10,643.46 = 3,201.16/x
  3. Step 3: Cross multiply
    7,095.64x = 10,643.46 × 3,201.16
  4. Step 4: Simplify right side
    7,095.64x = 34,071,418.41
  5. Step 5: Solve for x
    x = 34,071,418.41/7,095.64
  6. Step 6: Final answer
    x = 4,801.74

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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.