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Finding the Fourth Proportional to 8,518.22, 12,772.70 and 2,970.08

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Solution

The fourth proportional to 8,518.22, 12,772.70 and 2,970.08 is: 4,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.22 : 12,772.70 = 2,970.08 : x
  2. Step 2: Convert to fraction form
    8,518.22/12,772.70 = 2,970.08/x
  3. Step 3: Cross multiply
    8,518.22x = 12,772.70 × 2,970.08
  4. Step 4: Simplify right side
    8,518.22x = 37,935,925.97
  5. Step 5: Solve for x
    x = 37,935,925.97/8,518.22
  6. Step 6: Final answer
    x = 4,453.50

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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.