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Finding the Fourth Proportional to 7,739.91, 10,681.08 and 4,203.18

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Solution

The fourth proportional to 7,739.91, 10,681.08 and 4,203.18 is: 5,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.91 : 10,681.08 = 4,203.18 : x
  2. Step 2: Convert to fraction form
    7,739.91/10,681.08 = 4,203.18/x
  3. Step 3: Cross multiply
    7,739.91x = 10,681.08 × 4,203.18
  4. Step 4: Simplify right side
    7,739.91x = 44,894,501.83
  5. Step 5: Solve for x
    x = 44,894,501.83/7,739.91
  6. Step 6: Final answer
    x = 5,800.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.