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Finding the Fourth Proportional to 10,598.68, 14,626.66 and 5,883

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Solution

The fourth proportional to 10,598.68, 14,626.66 and 5,883 is: 8,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.68 : 14,626.66 = 5,883 : x
  2. Step 2: Convert to fraction form
    10,598.68/14,626.66 = 5,883/x
  3. Step 3: Cross multiply
    10,598.68x = 14,626.66 × 5,883
  4. Step 4: Simplify right side
    10,598.68x = 86,048,640.78
  5. Step 5: Solve for x
    x = 86,048,640.78/10,598.68
  6. Step 6: Final answer
    x = 8,118.81

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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.