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Finding the Fourth Proportional to 10,589.04, 15,873.48 and 3,658.68

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Solution

The fourth proportional to 10,589.04, 15,873.48 and 3,658.68 is: 5,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.04 : 15,873.48 = 3,658.68 : x
  2. Step 2: Convert to fraction form
    10,589.04/15,873.48 = 3,658.68/x
  3. Step 3: Cross multiply
    10,589.04x = 15,873.48 × 3,658.68
  4. Step 4: Simplify right side
    10,589.04x = 58,075,983.81
  5. Step 5: Solve for x
    x = 58,075,983.81/10,589.04
  6. Step 6: Final answer
    x = 5,484.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.