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Finding the Fourth Proportional to 11,484, 15,843.86 and 7,507.41

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Solution

The fourth proportional to 11,484, 15,843.86 and 7,507.41 is: 10,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484 : 15,843.86 = 7,507.41 : x
  2. Step 2: Convert to fraction form
    11,484/15,843.86 = 7,507.41/x
  3. Step 3: Cross multiply
    11,484x = 15,843.86 × 7,507.41
  4. Step 4: Simplify right side
    11,484x = 118,946,315.47
  5. Step 5: Solve for x
    x = 118,946,315.47/11,484
  6. Step 6: Final answer
    x = 10,357.57

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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.