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Finding the Fourth Proportional to 10,522.68, 15,783.51 and 3,948.35

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Solution

The fourth proportional to 10,522.68, 15,783.51 and 3,948.35 is: 5,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.68 : 15,783.51 = 3,948.35 : x
  2. Step 2: Convert to fraction form
    10,522.68/15,783.51 = 3,948.35/x
  3. Step 3: Cross multiply
    10,522.68x = 15,783.51 × 3,948.35
  4. Step 4: Simplify right side
    10,522.68x = 62,318,742.79
  5. Step 5: Solve for x
    x = 62,318,742.79/10,522.68
  6. Step 6: Final answer
    x = 5,922.33

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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.