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Finding the Fourth Proportional to 8,164.59, 12,252.33 and 2,970.46

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Solution

The fourth proportional to 8,164.59, 12,252.33 and 2,970.46 is: 4,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.59 : 12,252.33 = 2,970.46 : x
  2. Step 2: Convert to fraction form
    8,164.59/12,252.33 = 2,970.46/x
  3. Step 3: Cross multiply
    8,164.59x = 12,252.33 × 2,970.46
  4. Step 4: Simplify right side
    8,164.59x = 36,395,071.49
  5. Step 5: Solve for x
    x = 36,395,071.49/8,164.59
  6. Step 6: Final answer
    x = 4,457.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.