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Finding the Fourth Proportional to 11,415.47, 15,752.27 and 6,698.84

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Solution

The fourth proportional to 11,415.47, 15,752.27 and 6,698.84 is: 9,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.47 : 15,752.27 = 6,698.84 : x
  2. Step 2: Convert to fraction form
    11,415.47/15,752.27 = 6,698.84/x
  3. Step 3: Cross multiply
    11,415.47x = 15,752.27 × 6,698.84
  4. Step 4: Simplify right side
    11,415.47x = 105,521,874.35
  5. Step 5: Solve for x
    x = 105,521,874.35/11,415.47
  6. Step 6: Final answer
    x = 9,243.76

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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.