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Finding the Fourth Proportional to 10,300.68, 14,214.72 and 5,823.84

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Solution

The fourth proportional to 10,300.68, 14,214.72 and 5,823.84 is: 8,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.68 : 14,214.72 = 5,823.84 : x
  2. Step 2: Convert to fraction form
    10,300.68/14,214.72 = 5,823.84/x
  3. Step 3: Cross multiply
    10,300.68x = 14,214.72 × 5,823.84
  4. Step 4: Simplify right side
    10,300.68x = 82,784,254.92
  5. Step 5: Solve for x
    x = 82,784,254.92/10,300.68
  6. Step 6: Final answer
    x = 8,036.78

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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.