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Finding the Fourth Proportional to 11,350.76, 15,657.66 and 6,812.28

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Solution

The fourth proportional to 11,350.76, 15,657.66 and 6,812.28 is: 9,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350.76 : 15,657.66 = 6,812.28 : x
  2. Step 2: Convert to fraction form
    11,350.76/15,657.66 = 6,812.28/x
  3. Step 3: Cross multiply
    11,350.76x = 15,657.66 × 6,812.28
  4. Step 4: Simplify right side
    11,350.76x = 106,664,364.06
  5. Step 5: Solve for x
    x = 106,664,364.06/11,350.76
  6. Step 6: Final answer
    x = 9,397.11

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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.