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Finding the Fourth Proportional to 25,859.49, 38,790.08 and 7,140.93

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Solution

The fourth proportional to 25,859.49, 38,790.08 and 7,140.93 is: 10,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,859.49 : 38,790.08 = 7,140.93 : x
  2. Step 2: Convert to fraction form
    25,859.49/38,790.08 = 7,140.93/x
  3. Step 3: Cross multiply
    25,859.49x = 38,790.08 × 7,140.93
  4. Step 4: Simplify right side
    25,859.49x = 276,997,210.27
  5. Step 5: Solve for x
    x = 276,997,210.27/25,859.49
  6. Step 6: Final answer
    x = 10,711.63

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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.