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Finding the Fourth Proportional to 10,549.72, 14,559.07 and 5,834

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Solution

The fourth proportional to 10,549.72, 14,559.07 and 5,834 is: 8,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.72 : 14,559.07 = 5,834 : x
  2. Step 2: Convert to fraction form
    10,549.72/14,559.07 = 5,834/x
  3. Step 3: Cross multiply
    10,549.72x = 14,559.07 × 5,834
  4. Step 4: Simplify right side
    10,549.72x = 84,937,614.38
  5. Step 5: Solve for x
    x = 84,937,614.38/10,549.72
  6. Step 6: Final answer
    x = 8,051.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.