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Finding the Fourth Proportional to 10,453.16, 14,424.66 and 5,737.16

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Solution

The fourth proportional to 10,453.16, 14,424.66 and 5,737.16 is: 7,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.16 : 14,424.66 = 5,737.16 : x
  2. Step 2: Convert to fraction form
    10,453.16/14,424.66 = 5,737.16/x
  3. Step 3: Cross multiply
    10,453.16x = 14,424.66 × 5,737.16
  4. Step 4: Simplify right side
    10,453.16x = 82,756,582.37
  5. Step 5: Solve for x
    x = 82,756,582.37/10,453.16
  6. Step 6: Final answer
    x = 7,916.90

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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.