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Finding the Fourth Proportional to 10,162.80, 14,023.53 and 5,685.93

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Solution

The fourth proportional to 10,162.80, 14,023.53 and 5,685.93 is: 7,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.80 : 14,023.53 = 5,685.93 : x
  2. Step 2: Convert to fraction form
    10,162.80/14,023.53 = 5,685.93/x
  3. Step 3: Cross multiply
    10,162.80x = 14,023.53 × 5,685.93
  4. Step 4: Simplify right side
    10,162.80x = 79,736,809.93
  5. Step 5: Solve for x
    x = 79,736,809.93/10,162.80
  6. Step 6: Final answer
    x = 7,845.95

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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.