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Finding the Fourth Proportional to 8,694.58, 13,038.32 and 4,254.16

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Solution

The fourth proportional to 8,694.58, 13,038.32 and 4,254.16 is: 6,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.58 : 13,038.32 = 4,254.16 : x
  2. Step 2: Convert to fraction form
    8,694.58/13,038.32 = 4,254.16/x
  3. Step 3: Cross multiply
    8,694.58x = 13,038.32 × 4,254.16
  4. Step 4: Simplify right side
    8,694.58x = 55,467,077.45
  5. Step 5: Solve for x
    x = 55,467,077.45/8,694.58
  6. Step 6: Final answer
    x = 6,379.50

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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.