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Finding the Fourth Proportional to 10,970.40, 16,455.20 and 4,394.80

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Solution

The fourth proportional to 10,970.40, 16,455.20 and 4,394.80 is: 6,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.40 : 16,455.20 = 4,394.80 : x
  2. Step 2: Convert to fraction form
    10,970.40/16,455.20 = 4,394.80/x
  3. Step 3: Cross multiply
    10,970.40x = 16,455.20 × 4,394.80
  4. Step 4: Simplify right side
    10,970.40x = 72,317,312.96
  5. Step 5: Solve for x
    x = 72,317,312.96/10,970.40
  6. Step 6: Final answer
    x = 6,592.04

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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.