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Finding the Fourth Proportional to 10,204.64, 15,289.14 and 7,267.58

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Solution

The fourth proportional to 10,204.64, 15,289.14 and 7,267.58 is: 10,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.64 : 15,289.14 = 7,267.58 : x
  2. Step 2: Convert to fraction form
    10,204.64/15,289.14 = 7,267.58/x
  3. Step 3: Cross multiply
    10,204.64x = 15,289.14 × 7,267.58
  4. Step 4: Simplify right side
    10,204.64x = 111,115,048.08
  5. Step 5: Solve for x
    x = 111,115,048.08/10,204.64
  6. Step 6: Final answer
    x = 10,888.68

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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.