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Finding the Fourth Proportional to 11,140.86, 16,705.53 and 5,878.68

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Solution

The fourth proportional to 11,140.86, 16,705.53 and 5,878.68 is: 8,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.86 : 16,705.53 = 5,878.68 : x
  2. Step 2: Convert to fraction form
    11,140.86/16,705.53 = 5,878.68/x
  3. Step 3: Cross multiply
    11,140.86x = 16,705.53 × 5,878.68
  4. Step 4: Simplify right side
    11,140.86x = 98,206,465.10
  5. Step 5: Solve for x
    x = 98,206,465.10/11,140.86
  6. Step 6: Final answer
    x = 8,814.98

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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.