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Finding the Fourth Proportional to 10,089.51, 13,922.73 and 5,613

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Solution

The fourth proportional to 10,089.51, 13,922.73 and 5,613 is: 7,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.51 : 13,922.73 = 5,613 : x
  2. Step 2: Convert to fraction form
    10,089.51/13,922.73 = 5,613/x
  3. Step 3: Cross multiply
    10,089.51x = 13,922.73 × 5,613
  4. Step 4: Simplify right side
    10,089.51x = 78,148,283.49
  5. Step 5: Solve for x
    x = 78,148,283.49/10,089.51
  6. Step 6: Final answer
    x = 7,745.50

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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.