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Finding the Fourth Proportional to 10,298.02, 15,446.78 and 2,902.32

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Solution

The fourth proportional to 10,298.02, 15,446.78 and 2,902.32 is: 4,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.02 : 15,446.78 = 2,902.32 : x
  2. Step 2: Convert to fraction form
    10,298.02/15,446.78 = 2,902.32/x
  3. Step 3: Cross multiply
    10,298.02x = 15,446.78 × 2,902.32
  4. Step 4: Simplify right side
    10,298.02x = 44,831,498.53
  5. Step 5: Solve for x
    x = 44,831,498.53/10,298.02
  6. Step 6: Final answer
    x = 4,353.41

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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.