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Finding the Fourth Proportional to 10,683.36, 16,024.32 and 4,527.36

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Solution

The fourth proportional to 10,683.36, 16,024.32 and 4,527.36 is: 6,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.36 : 16,024.32 = 4,527.36 : x
  2. Step 2: Convert to fraction form
    10,683.36/16,024.32 = 4,527.36/x
  3. Step 3: Cross multiply
    10,683.36x = 16,024.32 × 4,527.36
  4. Step 4: Simplify right side
    10,683.36x = 72,547,865.40
  5. Step 5: Solve for x
    x = 72,547,865.40/10,683.36
  6. Step 6: Final answer
    x = 6,790.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.