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Finding the Fourth Proportional to 10,387.76, 14,335.50 and 5,911.92

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Solution

The fourth proportional to 10,387.76, 14,335.50 and 5,911.92 is: 8,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.76 : 14,335.50 = 5,911.92 : x
  2. Step 2: Convert to fraction form
    10,387.76/14,335.50 = 5,911.92/x
  3. Step 3: Cross multiply
    10,387.76x = 14,335.50 × 5,911.92
  4. Step 4: Simplify right side
    10,387.76x = 84,750,329.16
  5. Step 5: Solve for x
    x = 84,750,329.16/10,387.76
  6. Step 6: Final answer
    x = 8,158.67

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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.