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Finding the Fourth Proportional to 7,887.07, 10,884.24 and 4,350.25

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Solution

The fourth proportional to 7,887.07, 10,884.24 and 4,350.25 is: 6,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.07 : 10,884.24 = 4,350.25 : x
  2. Step 2: Convert to fraction form
    7,887.07/10,884.24 = 4,350.25/x
  3. Step 3: Cross multiply
    7,887.07x = 10,884.24 × 4,350.25
  4. Step 4: Simplify right side
    7,887.07x = 47,349,088.89
  5. Step 5: Solve for x
    x = 47,349,088.89/7,887.07
  6. Step 6: Final answer
    x = 6,003.39

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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.