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Finding the Fourth Proportional to 10,076.21, 13,890.52 and 7,041.91

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Solution

The fourth proportional to 10,076.21, 13,890.52 and 7,041.91 is: 9,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.21 : 13,890.52 = 7,041.91 : x
  2. Step 2: Convert to fraction form
    10,076.21/13,890.52 = 7,041.91/x
  3. Step 3: Cross multiply
    10,076.21x = 13,890.52 × 7,041.91
  4. Step 4: Simplify right side
    10,076.21x = 97,815,791.69
  5. Step 5: Solve for x
    x = 97,815,791.69/10,076.21
  6. Step 6: Final answer
    x = 9,707.60

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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.