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Finding the Fourth Proportional to 10,709.11, 16,065.20 and 3,314.15

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Solution

The fourth proportional to 10,709.11, 16,065.20 and 3,314.15 is: 4,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.11 : 16,065.20 = 3,314.15 : x
  2. Step 2: Convert to fraction form
    10,709.11/16,065.20 = 3,314.15/x
  3. Step 3: Cross multiply
    10,709.11x = 16,065.20 × 3,314.15
  4. Step 4: Simplify right side
    10,709.11x = 53,242,482.58
  5. Step 5: Solve for x
    x = 53,242,482.58/10,709.11
  6. Step 6: Final answer
    x = 4,971.70

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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.