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Finding the Fourth Proportional to 7,655.08, 10,564.14 and 4,252

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Solution

The fourth proportional to 7,655.08, 10,564.14 and 4,252 is: 5,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.08 : 10,564.14 = 4,252 : x
  2. Step 2: Convert to fraction form
    7,655.08/10,564.14 = 4,252/x
  3. Step 3: Cross multiply
    7,655.08x = 10,564.14 × 4,252
  4. Step 4: Simplify right side
    7,655.08x = 44,918,723.28
  5. Step 5: Solve for x
    x = 44,918,723.28/7,655.08
  6. Step 6: Final answer
    x = 5,867.83

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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.