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Finding the Fourth Proportional to 8,670.40, 12,976.48 and 7,212.48

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Solution

The fourth proportional to 8,670.40, 12,976.48 and 7,212.48 is: 10,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.40 : 12,976.48 = 7,212.48 : x
  2. Step 2: Convert to fraction form
    8,670.40/12,976.48 = 7,212.48/x
  3. Step 3: Cross multiply
    8,670.40x = 12,976.48 × 7,212.48
  4. Step 4: Simplify right side
    8,670.40x = 93,592,602.47
  5. Step 5: Solve for x
    x = 93,592,602.47/8,670.40
  6. Step 6: Final answer
    x = 10,794.50

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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.