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Finding the Fourth Proportional to 7,647.13, 10,553.06 and 4,462.61

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Solution

The fourth proportional to 7,647.13, 10,553.06 and 4,462.61 is: 6,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.13 : 10,553.06 = 4,462.61 : x
  2. Step 2: Convert to fraction form
    7,647.13/10,553.06 = 4,462.61/x
  3. Step 3: Cross multiply
    7,647.13x = 10,553.06 × 4,462.61
  4. Step 4: Simplify right side
    7,647.13x = 47,094,191.09
  5. Step 5: Solve for x
    x = 47,094,191.09/7,647.13
  6. Step 6: Final answer
    x = 6,158.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.