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Finding the Fourth Proportional to 10,201.60, 15,289.62 and 5,521.60

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Solution

The fourth proportional to 10,201.60, 15,289.62 and 5,521.60 is: 8,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.60 : 15,289.62 = 5,521.60 : x
  2. Step 2: Convert to fraction form
    10,201.60/15,289.62 = 5,521.60/x
  3. Step 3: Cross multiply
    10,201.60x = 15,289.62 × 5,521.60
  4. Step 4: Simplify right side
    10,201.60x = 84,423,165.79
  5. Step 5: Solve for x
    x = 84,423,165.79/10,201.60
  6. Step 6: Final answer
    x = 8,275.48

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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.