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Finding the Fourth Proportional to 10,300.63, 14,215.08 and 5,824.48

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Solution

The fourth proportional to 10,300.63, 14,215.08 and 5,824.48 is: 8,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.63 : 14,215.08 = 5,824.48 : x
  2. Step 2: Convert to fraction form
    10,300.63/14,215.08 = 5,824.48/x
  3. Step 3: Cross multiply
    10,300.63x = 14,215.08 × 5,824.48
  4. Step 4: Simplify right side
    10,300.63x = 82,795,449.16
  5. Step 5: Solve for x
    x = 82,795,449.16/10,300.63
  6. Step 6: Final answer
    x = 8,037.90

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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.