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Finding the Fourth Proportional to 10,225.80, 15,335.10 and 3,652.20

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Solution

The fourth proportional to 10,225.80, 15,335.10 and 3,652.20 is: 5,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.80 : 15,335.10 = 3,652.20 : x
  2. Step 2: Convert to fraction form
    10,225.80/15,335.10 = 3,652.20/x
  3. Step 3: Cross multiply
    10,225.80x = 15,335.10 × 3,652.20
  4. Step 4: Simplify right side
    10,225.80x = 56,006,852.22
  5. Step 5: Solve for x
    x = 56,006,852.22/10,225.80
  6. Step 6: Final answer
    x = 5,477.01

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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.