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Finding the Fourth Proportional to 10,602.79, 15,907.10 and 4,684.43

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Solution

The fourth proportional to 10,602.79, 15,907.10 and 4,684.43 is: 7,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.79 : 15,907.10 = 4,684.43 : x
  2. Step 2: Convert to fraction form
    10,602.79/15,907.10 = 4,684.43/x
  3. Step 3: Cross multiply
    10,602.79x = 15,907.10 × 4,684.43
  4. Step 4: Simplify right side
    10,602.79x = 74,515,593.50
  5. Step 5: Solve for x
    x = 74,515,593.50/10,602.79
  6. Step 6: Final answer
    x = 7,027.92

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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.