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Finding the Fourth Proportional to 10,897.12, 16,342.42 and 3,970

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Solution

The fourth proportional to 10,897.12, 16,342.42 and 3,970 is: 5,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.12 : 16,342.42 = 3,970 : x
  2. Step 2: Convert to fraction form
    10,897.12/16,342.42 = 3,970/x
  3. Step 3: Cross multiply
    10,897.12x = 16,342.42 × 3,970
  4. Step 4: Simplify right side
    10,897.12x = 64,879,407.40
  5. Step 5: Solve for x
    x = 64,879,407.40/10,897.12
  6. Step 6: Final answer
    x = 5,953.81

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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.