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Finding the Fourth Proportional to 11,013.84, 16,527 and 4,444.68

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Solution

The fourth proportional to 11,013.84, 16,527 and 4,444.68 is: 6,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.84 : 16,527 = 4,444.68 : x
  2. Step 2: Convert to fraction form
    11,013.84/16,527 = 4,444.68/x
  3. Step 3: Cross multiply
    11,013.84x = 16,527 × 4,444.68
  4. Step 4: Simplify right side
    11,013.84x = 73,457,226.36
  5. Step 5: Solve for x
    x = 73,457,226.36/11,013.84
  6. Step 6: Final answer
    x = 6,669.54

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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.