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Finding the Fourth Proportional to 10,456.05, 15,683.98 and 4,612.67

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Solution

The fourth proportional to 10,456.05, 15,683.98 and 4,612.67 is: 6,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.05 : 15,683.98 = 4,612.67 : x
  2. Step 2: Convert to fraction form
    10,456.05/15,683.98 = 4,612.67/x
  3. Step 3: Cross multiply
    10,456.05x = 15,683.98 × 4,612.67
  4. Step 4: Simplify right side
    10,456.05x = 72,345,024.03
  5. Step 5: Solve for x
    x = 72,345,024.03/10,456.05
  6. Step 6: Final answer
    x = 6,918.96

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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.