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Finding the Fourth Proportional to 10,208.70, 14,086.22 and 5,670.65

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Solution

The fourth proportional to 10,208.70, 14,086.22 and 5,670.65 is: 7,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.70 : 14,086.22 = 5,670.65 : x
  2. Step 2: Convert to fraction form
    10,208.70/14,086.22 = 5,670.65/x
  3. Step 3: Cross multiply
    10,208.70x = 14,086.22 × 5,670.65
  4. Step 4: Simplify right side
    10,208.70x = 79,878,068.75
  5. Step 5: Solve for x
    x = 79,878,068.75/10,208.70
  6. Step 6: Final answer
    x = 7,824.51

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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.