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Finding the Fourth Proportional to 10,574.48, 14,593 and 5,859.12

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Solution

The fourth proportional to 10,574.48, 14,593 and 5,859.12 is: 8,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.48 : 14,593 = 5,859.12 : x
  2. Step 2: Convert to fraction form
    10,574.48/14,593 = 5,859.12/x
  3. Step 3: Cross multiply
    10,574.48x = 14,593 × 5,859.12
  4. Step 4: Simplify right side
    10,574.48x = 85,502,138.16
  5. Step 5: Solve for x
    x = 85,502,138.16/10,574.48
  6. Step 6: Final answer
    x = 8,085.71

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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.