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Finding the Fourth Proportional to 10,026.60, 15,035.22 and 5,638.20

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Solution

The fourth proportional to 10,026.60, 15,035.22 and 5,638.20 is: 8,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.60 : 15,035.22 = 5,638.20 : x
  2. Step 2: Convert to fraction form
    10,026.60/15,035.22 = 5,638.20/x
  3. Step 3: Cross multiply
    10,026.60x = 15,035.22 × 5,638.20
  4. Step 4: Simplify right side
    10,026.60x = 84,771,577.40
  5. Step 5: Solve for x
    x = 84,771,577.40/10,026.60
  6. Step 6: Final answer
    x = 8,454.67

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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.