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Finding the Fourth Proportional to 10,930.70, 16,390.29 and 4,767.50

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Solution

The fourth proportional to 10,930.70, 16,390.29 and 4,767.50 is: 7,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.70 : 16,390.29 = 4,767.50 : x
  2. Step 2: Convert to fraction form
    10,930.70/16,390.29 = 4,767.50/x
  3. Step 3: Cross multiply
    10,930.70x = 16,390.29 × 4,767.50
  4. Step 4: Simplify right side
    10,930.70x = 78,140,707.58
  5. Step 5: Solve for x
    x = 78,140,707.58/10,930.70
  6. Step 6: Final answer
    x = 7,148.74

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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.