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Finding the Fourth Proportional to 10,641.72, 15,952.26 and 5,964

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Solution

The fourth proportional to 10,641.72, 15,952.26 and 5,964 is: 8,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.72 : 15,952.26 = 5,964 : x
  2. Step 2: Convert to fraction form
    10,641.72/15,952.26 = 5,964/x
  3. Step 3: Cross multiply
    10,641.72x = 15,952.26 × 5,964
  4. Step 4: Simplify right side
    10,641.72x = 95,139,278.64
  5. Step 5: Solve for x
    x = 95,139,278.64/10,641.72
  6. Step 6: Final answer
    x = 8,940.22

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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.