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Finding the Fourth Proportional to 11,820.52, 16,315.62 and 6,853.48

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Solution

The fourth proportional to 11,820.52, 16,315.62 and 6,853.48 is: 9,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.52 : 16,315.62 = 6,853.48 : x
  2. Step 2: Convert to fraction form
    11,820.52/16,315.62 = 6,853.48/x
  3. Step 3: Cross multiply
    11,820.52x = 16,315.62 × 6,853.48
  4. Step 4: Simplify right side
    11,820.52x = 111,818,775.36
  5. Step 5: Solve for x
    x = 111,818,775.36/11,820.52
  6. Step 6: Final answer
    x = 9,459.72

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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.