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Finding the Fourth Proportional to 10,089.08, 13,923.06 and 5,613.22

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Solution

The fourth proportional to 10,089.08, 13,923.06 and 5,613.22 is: 7,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.08 : 13,923.06 = 5,613.22 : x
  2. Step 2: Convert to fraction form
    10,089.08/13,923.06 = 5,613.22/x
  3. Step 3: Cross multiply
    10,089.08x = 13,923.06 × 5,613.22
  4. Step 4: Simplify right side
    10,089.08x = 78,153,198.85
  5. Step 5: Solve for x
    x = 78,153,198.85/10,089.08
  6. Step 6: Final answer
    x = 7,746.32

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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.