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Finding the Fourth Proportional to 8,705.96, 12,005.54 and 5,561

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Solution

The fourth proportional to 8,705.96, 12,005.54 and 5,561 is: 7,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.96 : 12,005.54 = 5,561 : x
  2. Step 2: Convert to fraction form
    8,705.96/12,005.54 = 5,561/x
  3. Step 3: Cross multiply
    8,705.96x = 12,005.54 × 5,561
  4. Step 4: Simplify right side
    8,705.96x = 66,762,807.94
  5. Step 5: Solve for x
    x = 66,762,807.94/8,705.96
  6. Step 6: Final answer
    x = 7,668.63

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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.