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Finding the Fourth Proportional to 7,509.70, 11,266.13 and 2,829.60

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Solution

The fourth proportional to 7,509.70, 11,266.13 and 2,829.60 is: 4,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.70 : 11,266.13 = 2,829.60 : x
  2. Step 2: Convert to fraction form
    7,509.70/11,266.13 = 2,829.60/x
  3. Step 3: Cross multiply
    7,509.70x = 11,266.13 × 2,829.60
  4. Step 4: Simplify right side
    7,509.70x = 31,878,640.56
  5. Step 5: Solve for x
    x = 31,878,640.56/7,509.70
  6. Step 6: Final answer
    x = 4,245.00

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Why These Related Problems?

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