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Finding the Fourth Proportional to 10,631.64, 14,672.04 and 5,916.24

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Solution

The fourth proportional to 10,631.64, 14,672.04 and 5,916.24 is: 8,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631.64 : 14,672.04 = 5,916.24 : x
  2. Step 2: Convert to fraction form
    10,631.64/14,672.04 = 5,916.24/x
  3. Step 3: Cross multiply
    10,631.64x = 14,672.04 × 5,916.24
  4. Step 4: Simplify right side
    10,631.64x = 86,803,309.93
  5. Step 5: Solve for x
    x = 86,803,309.93/10,631.64
  6. Step 6: Final answer
    x = 8,164.62

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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.