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Finding the Fourth Proportional to 8,038.16, 12,057.12 and 4,568

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Solution

The fourth proportional to 8,038.16, 12,057.12 and 4,568 is: 6,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.16 : 12,057.12 = 4,568 : x
  2. Step 2: Convert to fraction form
    8,038.16/12,057.12 = 4,568/x
  3. Step 3: Cross multiply
    8,038.16x = 12,057.12 × 4,568
  4. Step 4: Simplify right side
    8,038.16x = 55,076,924.16
  5. Step 5: Solve for x
    x = 55,076,924.16/8,038.16
  6. Step 6: Final answer
    x = 6,851.93

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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.