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Finding the Fourth Proportional to 7,934.63, 10,948.91 and 4,576.77

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Solution

The fourth proportional to 7,934.63, 10,948.91 and 4,576.77 is: 6,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.63 : 10,948.91 = 4,576.77 : x
  2. Step 2: Convert to fraction form
    7,934.63/10,948.91 = 4,576.77/x
  3. Step 3: Cross multiply
    7,934.63x = 10,948.91 × 4,576.77
  4. Step 4: Simplify right side
    7,934.63x = 50,110,619.94
  5. Step 5: Solve for x
    x = 50,110,619.94/7,934.63
  6. Step 6: Final answer
    x = 6,315.44

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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.