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Finding the Fourth Proportional to 8,275.91, 11,416.82 and 4,916.84

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Solution

The fourth proportional to 8,275.91, 11,416.82 and 4,916.84 is: 6,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.91 : 11,416.82 = 4,916.84 : x
  2. Step 2: Convert to fraction form
    8,275.91/11,416.82 = 4,916.84/x
  3. Step 3: Cross multiply
    8,275.91x = 11,416.82 × 4,916.84
  4. Step 4: Simplify right side
    8,275.91x = 56,134,595.58
  5. Step 5: Solve for x
    x = 56,134,595.58/8,275.91
  6. Step 6: Final answer
    x = 6,782.90

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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.