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Finding the Fourth Proportional to 10,690.19, 14,752.02 and 6,213.90

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Solution

The fourth proportional to 10,690.19, 14,752.02 and 6,213.90 is: 8,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.19 : 14,752.02 = 6,213.90 : x
  2. Step 2: Convert to fraction form
    10,690.19/14,752.02 = 6,213.90/x
  3. Step 3: Cross multiply
    10,690.19x = 14,752.02 × 6,213.90
  4. Step 4: Simplify right side
    10,690.19x = 91,667,577.08
  5. Step 5: Solve for x
    x = 91,667,577.08/10,690.19
  6. Step 6: Final answer
    x = 8,574.92

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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.