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Finding the Fourth Proportional to 10,282.79, 15,403.63 and 4,728.53

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Solution

The fourth proportional to 10,282.79, 15,403.63 and 4,728.53 is: 7,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.79 : 15,403.63 = 4,728.53 : x
  2. Step 2: Convert to fraction form
    10,282.79/15,403.63 = 4,728.53/x
  3. Step 3: Cross multiply
    10,282.79x = 15,403.63 × 4,728.53
  4. Step 4: Simplify right side
    10,282.79x = 72,836,526.56
  5. Step 5: Solve for x
    x = 72,836,526.56/10,282.79
  6. Step 6: Final answer
    x = 7,083.34

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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.