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Finding the Fourth Proportional to 10,320.71, 14,243.46 and 5,845.26

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Solution

The fourth proportional to 10,320.71, 14,243.46 and 5,845.26 is: 8,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.71 : 14,243.46 = 5,845.26 : x
  2. Step 2: Convert to fraction form
    10,320.71/14,243.46 = 5,845.26/x
  3. Step 3: Cross multiply
    10,320.71x = 14,243.46 × 5,845.26
  4. Step 4: Simplify right side
    10,320.71x = 83,256,646.53
  5. Step 5: Solve for x
    x = 83,256,646.53/10,320.71
  6. Step 6: Final answer
    x = 8,066.95

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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.