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Finding the Fourth Proportional to 8,490.36, 11,718.10 and 4,714.74

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Solution

The fourth proportional to 8,490.36, 11,718.10 and 4,714.74 is: 6,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.36 : 11,718.10 = 4,714.74 : x
  2. Step 2: Convert to fraction form
    8,490.36/11,718.10 = 4,714.74/x
  3. Step 3: Cross multiply
    8,490.36x = 11,718.10 × 4,714.74
  4. Step 4: Simplify right side
    8,490.36x = 55,247,794.79
  5. Step 5: Solve for x
    x = 55,247,794.79/8,490.36
  6. Step 6: Final answer
    x = 6,507.12

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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.