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Finding the Fourth Proportional to 10,390.80, 14,335.75 and 5,913.43

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Solution

The fourth proportional to 10,390.80, 14,335.75 and 5,913.43 is: 8,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.80 : 14,335.75 = 5,913.43 : x
  2. Step 2: Convert to fraction form
    10,390.80/14,335.75 = 5,913.43/x
  3. Step 3: Cross multiply
    10,390.80x = 14,335.75 × 5,913.43
  4. Step 4: Simplify right side
    10,390.80x = 84,773,441.05
  5. Step 5: Solve for x
    x = 84,773,441.05/10,390.80
  6. Step 6: Final answer
    x = 8,158.51

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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.