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Finding the Fourth Proportional to 10,524.25, 15,783.31 and 4,902.30

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Solution

The fourth proportional to 10,524.25, 15,783.31 and 4,902.30 is: 7,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.25 : 15,783.31 = 4,902.30 : x
  2. Step 2: Convert to fraction form
    10,524.25/15,783.31 = 4,902.30/x
  3. Step 3: Cross multiply
    10,524.25x = 15,783.31 × 4,902.30
  4. Step 4: Simplify right side
    10,524.25x = 77,374,454.77
  5. Step 5: Solve for x
    x = 77,374,454.77/10,524.25
  6. Step 6: Final answer
    x = 7,352.01

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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.