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Finding the Fourth Proportional to 8,300.68, 11,454.09 and 5,113.46

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Solution

The fourth proportional to 8,300.68, 11,454.09 and 5,113.46 is: 7,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.68 : 11,454.09 = 5,113.46 : x
  2. Step 2: Convert to fraction form
    8,300.68/11,454.09 = 5,113.46/x
  3. Step 3: Cross multiply
    8,300.68x = 11,454.09 × 5,113.46
  4. Step 4: Simplify right side
    8,300.68x = 58,570,031.05
  5. Step 5: Solve for x
    x = 58,570,031.05/8,300.68
  6. Step 6: Final answer
    x = 7,056.05

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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.