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Finding the Fourth Proportional to 10,746, 16,123.05 and 4,176.81

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Solution

The fourth proportional to 10,746, 16,123.05 and 4,176.81 is: 6,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 16,123.05 = 4,176.81 : x
  2. Step 2: Convert to fraction form
    10,746/16,123.05 = 4,176.81/x
  3. Step 3: Cross multiply
    10,746x = 16,123.05 × 4,176.81
  4. Step 4: Simplify right side
    10,746x = 67,342,916.47
  5. Step 5: Solve for x
    x = 67,342,916.47/10,746
  6. Step 6: Final answer
    x = 6,266.79

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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.