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Finding the Fourth Proportional to 10,300.72, 14,214.84 and 5,584.88

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Solution

The fourth proportional to 10,300.72, 14,214.84 and 5,584.88 is: 7,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.72 : 14,214.84 = 5,584.88 : x
  2. Step 2: Convert to fraction form
    10,300.72/14,214.84 = 5,584.88/x
  3. Step 3: Cross multiply
    10,300.72x = 14,214.84 × 5,584.88
  4. Step 4: Simplify right side
    10,300.72x = 79,388,175.62
  5. Step 5: Solve for x
    x = 79,388,175.62/10,300.72
  6. Step 6: Final answer
    x = 7,707.05

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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.