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Finding the Fourth Proportional to 10,700.74, 14,767.10 and 6,450.95

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Solution

The fourth proportional to 10,700.74, 14,767.10 and 6,450.95 is: 8,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.74 : 14,767.10 = 6,450.95 : x
  2. Step 2: Convert to fraction form
    10,700.74/14,767.10 = 6,450.95/x
  3. Step 3: Cross multiply
    10,700.74x = 14,767.10 × 6,450.95
  4. Step 4: Simplify right side
    10,700.74x = 95,261,823.75
  5. Step 5: Solve for x
    x = 95,261,823.75/10,700.74
  6. Step 6: Final answer
    x = 8,902.36

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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.