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Finding the Fourth Proportional to 11,451.30, 15,802.08 and 6,734.70

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Solution

The fourth proportional to 11,451.30, 15,802.08 and 6,734.70 is: 9,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.30 : 15,802.08 = 6,734.70 : x
  2. Step 2: Convert to fraction form
    11,451.30/15,802.08 = 6,734.70/x
  3. Step 3: Cross multiply
    11,451.30x = 15,802.08 × 6,734.70
  4. Step 4: Simplify right side
    11,451.30x = 106,422,268.18
  5. Step 5: Solve for x
    x = 106,422,268.18/11,451.30
  6. Step 6: Final answer
    x = 9,293.47

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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.