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Finding the Fourth Proportional to 10,314.24, 14,238.72 and 7,019.52

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Solution

The fourth proportional to 10,314.24, 14,238.72 and 7,019.52 is: 9,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.24 : 14,238.72 = 7,019.52 : x
  2. Step 2: Convert to fraction form
    10,314.24/14,238.72 = 7,019.52/x
  3. Step 3: Cross multiply
    10,314.24x = 14,238.72 × 7,019.52
  4. Step 4: Simplify right side
    10,314.24x = 99,948,979.81
  5. Step 5: Solve for x
    x = 99,948,979.81/10,314.24
  6. Step 6: Final answer
    x = 9,690.39

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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.