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Finding the Fourth Proportional to 7,610.56, 10,503.92 and 4,468.56

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Solution

The fourth proportional to 7,610.56, 10,503.92 and 4,468.56 is: 6,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.56 : 10,503.92 = 4,468.56 : x
  2. Step 2: Convert to fraction form
    7,610.56/10,503.92 = 4,468.56/x
  3. Step 3: Cross multiply
    7,610.56x = 10,503.92 × 4,468.56
  4. Step 4: Simplify right side
    7,610.56x = 46,937,396.76
  5. Step 5: Solve for x
    x = 46,937,396.76/7,610.56
  6. Step 6: Final answer
    x = 6,167.40

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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.