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Finding the Fourth Proportional to 10,707.30, 16,065.53 and 4,468.69

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Solution

The fourth proportional to 10,707.30, 16,065.53 and 4,468.69 is: 6,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.30 : 16,065.53 = 4,468.69 : x
  2. Step 2: Convert to fraction form
    10,707.30/16,065.53 = 4,468.69/x
  3. Step 3: Cross multiply
    10,707.30x = 16,065.53 × 4,468.69
  4. Step 4: Simplify right side
    10,707.30x = 71,791,926.65
  5. Step 5: Solve for x
    x = 71,791,926.65/10,707.30
  6. Step 6: Final answer
    x = 6,704.95

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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.