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Finding the Fourth Proportional to 10,402.89, 15,604.53 and 3,477.39

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Solution

The fourth proportional to 10,402.89, 15,604.53 and 3,477.39 is: 5,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.89 : 15,604.53 = 3,477.39 : x
  2. Step 2: Convert to fraction form
    10,402.89/15,604.53 = 3,477.39/x
  3. Step 3: Cross multiply
    10,402.89x = 15,604.53 × 3,477.39
  4. Step 4: Simplify right side
    10,402.89x = 54,263,036.58
  5. Step 5: Solve for x
    x = 54,263,036.58/10,402.89
  6. Step 6: Final answer
    x = 5,216.15

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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.