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Finding the Fourth Proportional to 10,665.84, 14,718.87 and 6,190.50

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Solution

The fourth proportional to 10,665.84, 14,718.87 and 6,190.50 is: 8,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.84 : 14,718.87 = 6,190.50 : x
  2. Step 2: Convert to fraction form
    10,665.84/14,718.87 = 6,190.50/x
  3. Step 3: Cross multiply
    10,665.84x = 14,718.87 × 6,190.50
  4. Step 4: Simplify right side
    10,665.84x = 91,117,164.74
  5. Step 5: Solve for x
    x = 91,117,164.74/10,665.84
  6. Step 6: Final answer
    x = 8,542.90

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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.