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Finding the Fourth Proportional to 7,203.72, 10,804.14 and 2,585.80

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Solution

The fourth proportional to 7,203.72, 10,804.14 and 2,585.80 is: 3,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.72 : 10,804.14 = 2,585.80 : x
  2. Step 2: Convert to fraction form
    7,203.72/10,804.14 = 2,585.80/x
  3. Step 3: Cross multiply
    7,203.72x = 10,804.14 × 2,585.80
  4. Step 4: Simplify right side
    7,203.72x = 27,937,345.21
  5. Step 5: Solve for x
    x = 27,937,345.21/7,203.72
  6. Step 6: Final answer
    x = 3,878.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.