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Finding the Fourth Proportional to 10,192.90, 14,066.76 and 5,718.07

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Solution

The fourth proportional to 10,192.90, 14,066.76 and 5,718.07 is: 7,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.90 : 14,066.76 = 5,718.07 : x
  2. Step 2: Convert to fraction form
    10,192.90/14,066.76 = 5,718.07/x
  3. Step 3: Cross multiply
    10,192.90x = 14,066.76 × 5,718.07
  4. Step 4: Simplify right side
    10,192.90x = 80,434,718.35
  5. Step 5: Solve for x
    x = 80,434,718.35/10,192.90
  6. Step 6: Final answer
    x = 7,891.25

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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.