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Finding the Fourth Proportional to 10,889.34, 15,029.43 and 6,416.94

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Solution

The fourth proportional to 10,889.34, 15,029.43 and 6,416.94 is: 8,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.34 : 15,029.43 = 6,416.94 : x
  2. Step 2: Convert to fraction form
    10,889.34/15,029.43 = 6,416.94/x
  3. Step 3: Cross multiply
    10,889.34x = 15,029.43 × 6,416.94
  4. Step 4: Simplify right side
    10,889.34x = 96,442,950.54
  5. Step 5: Solve for x
    x = 96,442,950.54/10,889.34
  6. Step 6: Final answer
    x = 8,856.64

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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.