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Finding the Fourth Proportional to 7,498.64, 10,348.62 and 4,976.30

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Solution

The fourth proportional to 7,498.64, 10,348.62 and 4,976.30 is: 6,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.64 : 10,348.62 = 4,976.30 : x
  2. Step 2: Convert to fraction form
    7,498.64/10,348.62 = 4,976.30/x
  3. Step 3: Cross multiply
    7,498.64x = 10,348.62 × 4,976.30
  4. Step 4: Simplify right side
    7,498.64x = 51,497,837.71
  5. Step 5: Solve for x
    x = 51,497,837.71/7,498.64
  6. Step 6: Final answer
    x = 6,867.62

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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.