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Finding the Fourth Proportional to 10,281.84, 14,187.41 and 5,805.50

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Solution

The fourth proportional to 10,281.84, 14,187.41 and 5,805.50 is: 8,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.84 : 14,187.41 = 5,805.50 : x
  2. Step 2: Convert to fraction form
    10,281.84/14,187.41 = 5,805.50/x
  3. Step 3: Cross multiply
    10,281.84x = 14,187.41 × 5,805.50
  4. Step 4: Simplify right side
    10,281.84x = 82,364,908.79
  5. Step 5: Solve for x
    x = 82,364,908.79/10,281.84
  6. Step 6: Final answer
    x = 8,010.72

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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.