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Finding the Fourth Proportional to 10,970.10, 16,458.19 and 4,396.34

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Solution

The fourth proportional to 10,970.10, 16,458.19 and 4,396.34 is: 6,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.10 : 16,458.19 = 4,396.34 : x
  2. Step 2: Convert to fraction form
    10,970.10/16,458.19 = 4,396.34/x
  3. Step 3: Cross multiply
    10,970.10x = 16,458.19 × 4,396.34
  4. Step 4: Simplify right side
    10,970.10x = 72,355,829.18
  5. Step 5: Solve for x
    x = 72,355,829.18/10,970.10
  6. Step 6: Final answer
    x = 6,595.73

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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.