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Finding the Fourth Proportional to 10,765.34, 16,146.12 and 4,920.56

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Solution

The fourth proportional to 10,765.34, 16,146.12 and 4,920.56 is: 7,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.34 : 16,146.12 = 4,920.56 : x
  2. Step 2: Convert to fraction form
    10,765.34/16,146.12 = 4,920.56/x
  3. Step 3: Cross multiply
    10,765.34x = 16,146.12 × 4,920.56
  4. Step 4: Simplify right side
    10,765.34x = 79,447,952.23
  5. Step 5: Solve for x
    x = 79,447,952.23/10,765.34
  6. Step 6: Final answer
    x = 7,379.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.