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Finding the Fourth Proportional to 7,737.48, 11,599.15 and 2,805.99

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Solution

The fourth proportional to 7,737.48, 11,599.15 and 2,805.99 is: 4,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.48 : 11,599.15 = 2,805.99 : x
  2. Step 2: Convert to fraction form
    7,737.48/11,599.15 = 2,805.99/x
  3. Step 3: Cross multiply
    7,737.48x = 11,599.15 × 2,805.99
  4. Step 4: Simplify right side
    7,737.48x = 32,547,098.91
  5. Step 5: Solve for x
    x = 32,547,098.91/7,737.48
  6. Step 6: Final answer
    x = 4,206.42

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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.