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Finding the Fourth Proportional to 10,391.30, 14,336.44 and 5,913.93

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Solution

The fourth proportional to 10,391.30, 14,336.44 and 5,913.93 is: 8,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.30 : 14,336.44 = 5,913.93 : x
  2. Step 2: Convert to fraction form
    10,391.30/14,336.44 = 5,913.93/x
  3. Step 3: Cross multiply
    10,391.30x = 14,336.44 × 5,913.93
  4. Step 4: Simplify right side
    10,391.30x = 84,784,673.04
  5. Step 5: Solve for x
    x = 84,784,673.04/10,391.30
  6. Step 6: Final answer
    x = 8,159.20

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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.