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Finding the Fourth Proportional to 7,898.74, 11,846.58 and 4,618.24

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Solution

The fourth proportional to 7,898.74, 11,846.58 and 4,618.24 is: 6,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.74 : 11,846.58 = 4,618.24 : x
  2. Step 2: Convert to fraction form
    7,898.74/11,846.58 = 4,618.24/x
  3. Step 3: Cross multiply
    7,898.74x = 11,846.58 × 4,618.24
  4. Step 4: Simplify right side
    7,898.74x = 54,710,349.62
  5. Step 5: Solve for x
    x = 54,710,349.62/7,898.74
  6. Step 6: Final answer
    x = 6,926.47

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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.