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Finding the Fourth Proportional to 11,144.25, 15,378.54 and 6,670.47

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Solution

The fourth proportional to 11,144.25, 15,378.54 and 6,670.47 is: 9,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.25 : 15,378.54 = 6,670.47 : x
  2. Step 2: Convert to fraction form
    11,144.25/15,378.54 = 6,670.47/x
  3. Step 3: Cross multiply
    11,144.25x = 15,378.54 × 6,670.47
  4. Step 4: Simplify right side
    11,144.25x = 102,582,089.71
  5. Step 5: Solve for x
    x = 102,582,089.71/11,144.25
  6. Step 6: Final answer
    x = 9,204.93

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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.