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Finding the Fourth Proportional to 8,125.92, 12,210.75 and 7,885.35

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Solution

The fourth proportional to 8,125.92, 12,210.75 and 7,885.35 is: 11,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.92 : 12,210.75 = 7,885.35 : x
  2. Step 2: Convert to fraction form
    8,125.92/12,210.75 = 7,885.35/x
  3. Step 3: Cross multiply
    8,125.92x = 12,210.75 × 7,885.35
  4. Step 4: Simplify right side
    8,125.92x = 96,286,037.51
  5. Step 5: Solve for x
    x = 96,286,037.51/8,125.92
  6. Step 6: Final answer
    x = 11,849.25

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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.