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Finding the Fourth Proportional to 10,980.24, 15,151.32 and 6,264.24

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Solution

The fourth proportional to 10,980.24, 15,151.32 and 6,264.24 is: 8,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.24 : 15,151.32 = 6,264.24 : x
  2. Step 2: Convert to fraction form
    10,980.24/15,151.32 = 6,264.24/x
  3. Step 3: Cross multiply
    10,980.24x = 15,151.32 × 6,264.24
  4. Step 4: Simplify right side
    10,980.24x = 94,911,504.80
  5. Step 5: Solve for x
    x = 94,911,504.80/10,980.24
  6. Step 6: Final answer
    x = 8,643.85

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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.