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Finding the Fourth Proportional to 11,607.84, 16,005.60 and 8,808.48

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Solution

The fourth proportional to 11,607.84, 16,005.60 and 8,808.48 is: 12,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.84 : 16,005.60 = 8,808.48 : x
  2. Step 2: Convert to fraction form
    11,607.84/16,005.60 = 8,808.48/x
  3. Step 3: Cross multiply
    11,607.84x = 16,005.60 × 8,808.48
  4. Step 4: Simplify right side
    11,607.84x = 140,985,007.49
  5. Step 5: Solve for x
    x = 140,985,007.49/11,607.84
  6. Step 6: Final answer
    x = 12,145.67

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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.