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Finding the Fourth Proportional to 10,976.64, 15,151.17 and 6,264.06

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Solution

The fourth proportional to 10,976.64, 15,151.17 and 6,264.06 is: 8,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.64 : 15,151.17 = 6,264.06 : x
  2. Step 2: Convert to fraction form
    10,976.64/15,151.17 = 6,264.06/x
  3. Step 3: Cross multiply
    10,976.64x = 15,151.17 × 6,264.06
  4. Step 4: Simplify right side
    10,976.64x = 94,907,837.95
  5. Step 5: Solve for x
    x = 94,907,837.95/10,976.64
  6. Step 6: Final answer
    x = 8,646.35

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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.