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Finding the Fourth Proportional to 10,713.80, 14,792.34 and 6,682.19

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Solution

The fourth proportional to 10,713.80, 14,792.34 and 6,682.19 is: 9,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.80 : 14,792.34 = 6,682.19 : x
  2. Step 2: Convert to fraction form
    10,713.80/14,792.34 = 6,682.19/x
  3. Step 3: Cross multiply
    10,713.80x = 14,792.34 × 6,682.19
  4. Step 4: Simplify right side
    10,713.80x = 98,845,226.42
  5. Step 5: Solve for x
    x = 98,845,226.42/10,713.80
  6. Step 6: Final answer
    x = 9,225.98

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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.