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Finding the Fourth Proportional to 10,971.90, 16,457.48 and 4,396.32

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Solution

The fourth proportional to 10,971.90, 16,457.48 and 4,396.32 is: 6,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.90 : 16,457.48 = 4,396.32 : x
  2. Step 2: Convert to fraction form
    10,971.90/16,457.48 = 4,396.32/x
  3. Step 3: Cross multiply
    10,971.90x = 16,457.48 × 4,396.32
  4. Step 4: Simplify right side
    10,971.90x = 72,352,348.47
  5. Step 5: Solve for x
    x = 72,352,348.47/10,971.90
  6. Step 6: Final answer
    x = 6,594.33

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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.