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Finding the Fourth Proportional to 10,023.21, 13,823.64 and 7,511.22

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Solution

The fourth proportional to 10,023.21, 13,823.64 and 7,511.22 is: 10,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.21 : 13,823.64 = 7,511.22 : x
  2. Step 2: Convert to fraction form
    10,023.21/13,823.64 = 7,511.22/x
  3. Step 3: Cross multiply
    10,023.21x = 13,823.64 × 7,511.22
  4. Step 4: Simplify right side
    10,023.21x = 103,832,401.24
  5. Step 5: Solve for x
    x = 103,832,401.24/10,023.21
  6. Step 6: Final answer
    x = 10,359.20

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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.