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Finding the Fourth Proportional to 10,300.69, 15,451.04 and 2,509.44

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Solution

The fourth proportional to 10,300.69, 15,451.04 and 2,509.44 is: 3,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.69 : 15,451.04 = 2,509.44 : x
  2. Step 2: Convert to fraction form
    10,300.69/15,451.04 = 2,509.44/x
  3. Step 3: Cross multiply
    10,300.69x = 15,451.04 × 2,509.44
  4. Step 4: Simplify right side
    10,300.69x = 38,773,457.82
  5. Step 5: Solve for x
    x = 38,773,457.82/10,300.69
  6. Step 6: Final answer
    x = 3,764.16

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