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Finding the Fourth Proportional to 7,723.52, 11,585.12 and 1,880.16

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Solution

The fourth proportional to 7,723.52, 11,585.12 and 1,880.16 is: 2,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.52 : 11,585.12 = 1,880.16 : x
  2. Step 2: Convert to fraction form
    7,723.52/11,585.12 = 1,880.16/x
  3. Step 3: Cross multiply
    7,723.52x = 11,585.12 × 1,880.16
  4. Step 4: Simplify right side
    7,723.52x = 21,781,879.22
  5. Step 5: Solve for x
    x = 21,781,879.22/7,723.52
  6. Step 6: Final answer
    x = 2,820.20

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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.