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Finding the Fourth Proportional to 7,655.61, 10,563.96 and 4,298.39

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Solution

The fourth proportional to 7,655.61, 10,563.96 and 4,298.39 is: 5,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.61 : 10,563.96 = 4,298.39 : x
  2. Step 2: Convert to fraction form
    7,655.61/10,563.96 = 4,298.39/x
  3. Step 3: Cross multiply
    7,655.61x = 10,563.96 × 4,298.39
  4. Step 4: Simplify right side
    7,655.61x = 45,408,046.43
  5. Step 5: Solve for x
    x = 45,408,046.43/7,655.61
  6. Step 6: Final answer
    x = 5,931.34

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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.