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Finding the Fourth Proportional to 8,276, 12,417.60 and 4,120.16

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Solution

The fourth proportional to 8,276, 12,417.60 and 4,120.16 is: 6,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276 : 12,417.60 = 4,120.16 : x
  2. Step 2: Convert to fraction form
    8,276/12,417.60 = 4,120.16/x
  3. Step 3: Cross multiply
    8,276x = 12,417.60 × 4,120.16
  4. Step 4: Simplify right side
    8,276x = 51,162,498.82
  5. Step 5: Solve for x
    x = 51,162,498.82/8,276
  6. Step 6: Final answer
    x = 6,182.03

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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.