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Finding the Fourth Proportional to 8,505.36, 12,746.52 and 4,114.08

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Solution

The fourth proportional to 8,505.36, 12,746.52 and 4,114.08 is: 6,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.36 : 12,746.52 = 4,114.08 : x
  2. Step 2: Convert to fraction form
    8,505.36/12,746.52 = 4,114.08/x
  3. Step 3: Cross multiply
    8,505.36x = 12,746.52 × 4,114.08
  4. Step 4: Simplify right side
    8,505.36x = 52,440,203.00
  5. Step 5: Solve for x
    x = 52,440,203.00/8,505.36
  6. Step 6: Final answer
    x = 6,165.55

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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.