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Finding the Fourth Proportional to 11,374, 15,693.84 and 6,657.28

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Solution

The fourth proportional to 11,374, 15,693.84 and 6,657.28 is: 9,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374 : 15,693.84 = 6,657.28 : x
  2. Step 2: Convert to fraction form
    11,374/15,693.84 = 6,657.28/x
  3. Step 3: Cross multiply
    11,374x = 15,693.84 × 6,657.28
  4. Step 4: Simplify right side
    11,374x = 104,478,287.16
  5. Step 5: Solve for x
    x = 104,478,287.16/11,374
  6. Step 6: Final answer
    x = 9,185.71

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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.