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Finding the Fourth Proportional to 10,875.20, 15,007.75 and 6,159.92

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Solution

The fourth proportional to 10,875.20, 15,007.75 and 6,159.92 is: 8,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.20 : 15,007.75 = 6,159.92 : x
  2. Step 2: Convert to fraction form
    10,875.20/15,007.75 = 6,159.92/x
  3. Step 3: Cross multiply
    10,875.20x = 15,007.75 × 6,159.92
  4. Step 4: Simplify right side
    10,875.20x = 92,446,448.94
  5. Step 5: Solve for x
    x = 92,446,448.94/10,875.20
  6. Step 6: Final answer
    x = 8,500.67

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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.