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Finding the Fourth Proportional to 8,705.46, 12,037.16 and 8,564.80

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Solution

The fourth proportional to 8,705.46, 12,037.16 and 8,564.80 is: 11,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.46 : 12,037.16 = 8,564.80 : x
  2. Step 2: Convert to fraction form
    8,705.46/12,037.16 = 8,564.80/x
  3. Step 3: Cross multiply
    8,705.46x = 12,037.16 × 8,564.80
  4. Step 4: Simplify right side
    8,705.46x = 103,095,867.97
  5. Step 5: Solve for x
    x = 103,095,867.97/8,705.46
  6. Step 6: Final answer
    x = 11,842.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.