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Finding the Fourth Proportional to 10,970.92, 16,458 and 3,178.72

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Solution

The fourth proportional to 10,970.92, 16,458 and 3,178.72 is: 4,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.92 : 16,458 = 3,178.72 : x
  2. Step 2: Convert to fraction form
    10,970.92/16,458 = 3,178.72/x
  3. Step 3: Cross multiply
    10,970.92x = 16,458 × 3,178.72
  4. Step 4: Simplify right side
    10,970.92x = 52,315,373.76
  5. Step 5: Solve for x
    x = 52,315,373.76/10,970.92
  6. Step 6: Final answer
    x = 4,768.55

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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.