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Finding the Fourth Proportional to 10,683.48, 14,742.14 and 6,207.42

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Solution

The fourth proportional to 10,683.48, 14,742.14 and 6,207.42 is: 8,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.48 : 14,742.14 = 6,207.42 : x
  2. Step 2: Convert to fraction form
    10,683.48/14,742.14 = 6,207.42/x
  3. Step 3: Cross multiply
    10,683.48x = 14,742.14 × 6,207.42
  4. Step 4: Simplify right side
    10,683.48x = 91,510,623.64
  5. Step 5: Solve for x
    x = 91,510,623.64/10,683.48
  6. Step 6: Final answer
    x = 8,565.62

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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.