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Finding the Fourth Proportional to 8,887.50, 13,330.19 and 2,314.20

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Solution

The fourth proportional to 8,887.50, 13,330.19 and 2,314.20 is: 3,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,887.50 : 13,330.19 = 2,314.20 : x
  2. Step 2: Convert to fraction form
    8,887.50/13,330.19 = 2,314.20/x
  3. Step 3: Cross multiply
    8,887.50x = 13,330.19 × 2,314.20
  4. Step 4: Simplify right side
    8,887.50x = 30,848,714.13
  5. Step 5: Solve for x
    x = 30,848,714.13/8,887.50
  6. Step 6: Final answer
    x = 3,471.02

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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.