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Finding the Fourth Proportional to 10,683.32, 14,736.12 and 7,098.20

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Solution

The fourth proportional to 10,683.32, 14,736.12 and 7,098.20 is: 9,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.32 : 14,736.12 = 7,098.20 : x
  2. Step 2: Convert to fraction form
    10,683.32/14,736.12 = 7,098.20/x
  3. Step 3: Cross multiply
    10,683.32x = 14,736.12 × 7,098.20
  4. Step 4: Simplify right side
    10,683.32x = 104,599,926.98
  5. Step 5: Solve for x
    x = 104,599,926.98/10,683.32
  6. Step 6: Final answer
    x = 9,790.96

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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.