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Finding the Fourth Proportional to 11,600.84, 16,006.68 and 6,563.45

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Solution

The fourth proportional to 11,600.84, 16,006.68 and 6,563.45 is: 9,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.84 : 16,006.68 = 6,563.45 : x
  2. Step 2: Convert to fraction form
    11,600.84/16,006.68 = 6,563.45/x
  3. Step 3: Cross multiply
    11,600.84x = 16,006.68 × 6,563.45
  4. Step 4: Simplify right side
    11,600.84x = 105,059,083.86
  5. Step 5: Solve for x
    x = 105,059,083.86/11,600.84
  6. Step 6: Final answer
    x = 9,056.16

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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.