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Finding the Fourth Proportional to 10,853.29, 14,977.06 and 6,377.50

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Solution

The fourth proportional to 10,853.29, 14,977.06 and 6,377.50 is: 8,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.29 : 14,977.06 = 6,377.50 : x
  2. Step 2: Convert to fraction form
    10,853.29/14,977.06 = 6,377.50/x
  3. Step 3: Cross multiply
    10,853.29x = 14,977.06 × 6,377.50
  4. Step 4: Simplify right side
    10,853.29x = 95,516,200.15
  5. Step 5: Solve for x
    x = 95,516,200.15/10,853.29
  6. Step 6: Final answer
    x = 8,800.67

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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.