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Finding the Fourth Proportional to 7,875.96, 11,822.16 and 3,496.50

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Solution

The fourth proportional to 7,875.96, 11,822.16 and 3,496.50 is: 5,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.96 : 11,822.16 = 3,496.50 : x
  2. Step 2: Convert to fraction form
    7,875.96/11,822.16 = 3,496.50/x
  3. Step 3: Cross multiply
    7,875.96x = 11,822.16 × 3,496.50
  4. Step 4: Simplify right side
    7,875.96x = 41,336,182.44
  5. Step 5: Solve for x
    x = 41,336,182.44/7,875.96
  6. Step 6: Final answer
    x = 5,248.40

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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.