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Finding the Fourth Proportional to 10,470.68, 14,449.64 and 5,690.64

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Solution

The fourth proportional to 10,470.68, 14,449.64 and 5,690.64 is: 7,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.68 : 14,449.64 = 5,690.64 : x
  2. Step 2: Convert to fraction form
    10,470.68/14,449.64 = 5,690.64/x
  3. Step 3: Cross multiply
    10,470.68x = 14,449.64 × 5,690.64
  4. Step 4: Simplify right side
    10,470.68x = 82,227,670.92
  5. Step 5: Solve for x
    x = 82,227,670.92/10,470.68
  6. Step 6: Final answer
    x = 7,853.14

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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.