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Finding the Fourth Proportional to 11,598.19, 16,009.65 and 6,882.47

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Solution

The fourth proportional to 11,598.19, 16,009.65 and 6,882.47 is: 9,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.19 : 16,009.65 = 6,882.47 : x
  2. Step 2: Convert to fraction form
    11,598.19/16,009.65 = 6,882.47/x
  3. Step 3: Cross multiply
    11,598.19x = 16,009.65 × 6,882.47
  4. Step 4: Simplify right side
    11,598.19x = 110,185,915.82
  5. Step 5: Solve for x
    x = 110,185,915.82/11,598.19
  6. Step 6: Final answer
    x = 9,500.27

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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.