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Finding the Fourth Proportional to 10,690.65, 14,752.07 and 6,214.34

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Solution

The fourth proportional to 10,690.65, 14,752.07 and 6,214.34 is: 8,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.65 : 14,752.07 = 6,214.34 : x
  2. Step 2: Convert to fraction form
    10,690.65/14,752.07 = 6,214.34/x
  3. Step 3: Cross multiply
    10,690.65x = 14,752.07 × 6,214.34
  4. Step 4: Simplify right side
    10,690.65x = 91,674,378.68
  5. Step 5: Solve for x
    x = 91,674,378.68/10,690.65
  6. Step 6: Final answer
    x = 8,575.19

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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.