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Finding the Fourth Proportional to 7,232.34, 10,848.99 and 2,852.87

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Solution

The fourth proportional to 7,232.34, 10,848.99 and 2,852.87 is: 4,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.34 : 10,848.99 = 2,852.87 : x
  2. Step 2: Convert to fraction form
    7,232.34/10,848.99 = 2,852.87/x
  3. Step 3: Cross multiply
    7,232.34x = 10,848.99 × 2,852.87
  4. Step 4: Simplify right side
    7,232.34x = 30,950,759.53
  5. Step 5: Solve for x
    x = 30,950,759.53/7,232.34
  6. Step 6: Final answer
    x = 4,279.50

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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.