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Finding the Fourth Proportional to 7,235.13, 10,853.93 and 3,077.13

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Solution

The fourth proportional to 7,235.13, 10,853.93 and 3,077.13 is: 4,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.13 : 10,853.93 = 3,077.13 : x
  2. Step 2: Convert to fraction form
    7,235.13/10,853.93 = 3,077.13/x
  3. Step 3: Cross multiply
    7,235.13x = 10,853.93 × 3,077.13
  4. Step 4: Simplify right side
    7,235.13x = 33,398,953.62
  5. Step 5: Solve for x
    x = 33,398,953.62/7,235.13
  6. Step 6: Final answer
    x = 4,616.22

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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.