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Finding the Fourth Proportional to 10,390.69, 14,335.77 and 6,141.88

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Solution

The fourth proportional to 10,390.69, 14,335.77 and 6,141.88 is: 8,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.69 : 14,335.77 = 6,141.88 : x
  2. Step 2: Convert to fraction form
    10,390.69/14,335.77 = 6,141.88/x
  3. Step 3: Cross multiply
    10,390.69x = 14,335.77 × 6,141.88
  4. Step 4: Simplify right side
    10,390.69x = 88,048,579.05
  5. Step 5: Solve for x
    x = 88,048,579.05/10,390.69
  6. Step 6: Final answer
    x = 8,473.80

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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.