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Finding the Fourth Proportional to 10,511.52, 14,494.44 and 7,154.88

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Solution

The fourth proportional to 10,511.52, 14,494.44 and 7,154.88 is: 9,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.52 : 14,494.44 = 7,154.88 : x
  2. Step 2: Convert to fraction form
    10,511.52/14,494.44 = 7,154.88/x
  3. Step 3: Cross multiply
    10,511.52x = 14,494.44 × 7,154.88
  4. Step 4: Simplify right side
    10,511.52x = 103,705,978.87
  5. Step 5: Solve for x
    x = 103,705,978.87/10,511.52
  6. Step 6: Final answer
    x = 9,865.94

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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.