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Finding the Fourth Proportional to 8,490.42, 11,715.94 and 4,712.68

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Solution

The fourth proportional to 8,490.42, 11,715.94 and 4,712.68 is: 6,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.42 : 11,715.94 = 4,712.68 : x
  2. Step 2: Convert to fraction form
    8,490.42/11,715.94 = 4,712.68/x
  3. Step 3: Cross multiply
    8,490.42x = 11,715.94 × 4,712.68
  4. Step 4: Simplify right side
    8,490.42x = 55,213,496.65
  5. Step 5: Solve for x
    x = 55,213,496.65/8,490.42
  6. Step 6: Final answer
    x = 6,503.03

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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.