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Finding the Fourth Proportional to 10,526.96, 15,785.83 and 3,948.54

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Solution

The fourth proportional to 10,526.96, 15,785.83 and 3,948.54 is: 5,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.96 : 15,785.83 = 3,948.54 : x
  2. Step 2: Convert to fraction form
    10,526.96/15,785.83 = 3,948.54/x
  3. Step 3: Cross multiply
    10,526.96x = 15,785.83 × 3,948.54
  4. Step 4: Simplify right side
    10,526.96x = 62,330,981.19
  5. Step 5: Solve for x
    x = 62,330,981.19/10,526.96
  6. Step 6: Final answer
    x = 5,921.08

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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.