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Finding the Fourth Proportional to 10,970.70, 16,456.05 and 4,401.60

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Solution

The fourth proportional to 10,970.70, 16,456.05 and 4,401.60 is: 6,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.70 : 16,456.05 = 4,401.60 : x
  2. Step 2: Convert to fraction form
    10,970.70/16,456.05 = 4,401.60/x
  3. Step 3: Cross multiply
    10,970.70x = 16,456.05 × 4,401.60
  4. Step 4: Simplify right side
    10,970.70x = 72,432,949.68
  5. Step 5: Solve for x
    x = 72,432,949.68/10,970.70
  6. Step 6: Final answer
    x = 6,602.40

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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.