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Finding the Fourth Proportional to 8,538.85, 11,782.52 and 4,953.05

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Solution

The fourth proportional to 8,538.85, 11,782.52 and 4,953.05 is: 6,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.85 : 11,782.52 = 4,953.05 : x
  2. Step 2: Convert to fraction form
    8,538.85/11,782.52 = 4,953.05/x
  3. Step 3: Cross multiply
    8,538.85x = 11,782.52 × 4,953.05
  4. Step 4: Simplify right side
    8,538.85x = 58,359,389.77
  5. Step 5: Solve for x
    x = 58,359,389.77/8,538.85
  6. Step 6: Final answer
    x = 6,834.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.