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Finding the Fourth Proportional to 10,388.16, 15,564.52 and 5,712.09

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Solution

The fourth proportional to 10,388.16, 15,564.52 and 5,712.09 is: 8,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.16 : 15,564.52 = 5,712.09 : x
  2. Step 2: Convert to fraction form
    10,388.16/15,564.52 = 5,712.09/x
  3. Step 3: Cross multiply
    10,388.16x = 15,564.52 × 5,712.09
  4. Step 4: Simplify right side
    10,388.16x = 88,905,910.49
  5. Step 5: Solve for x
    x = 88,905,910.49/10,388.16
  6. Step 6: Final answer
    x = 8,558.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.