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Finding the Fourth Proportional to 10,625.52, 14,667.30 and 7,087.44

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Solution

The fourth proportional to 10,625.52, 14,667.30 and 7,087.44 is: 9,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.52 : 14,667.30 = 7,087.44 : x
  2. Step 2: Convert to fraction form
    10,625.52/14,667.30 = 7,087.44/x
  3. Step 3: Cross multiply
    10,625.52x = 14,667.30 × 7,087.44
  4. Step 4: Simplify right side
    10,625.52x = 103,953,608.71
  5. Step 5: Solve for x
    x = 103,953,608.71/10,625.52
  6. Step 6: Final answer
    x = 9,783.39

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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.