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Finding the Fourth Proportional to 10,897.46, 15,038.85 and 6,181.94

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Solution

The fourth proportional to 10,897.46, 15,038.85 and 6,181.94 is: 8,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.46 : 15,038.85 = 6,181.94 : x
  2. Step 2: Convert to fraction form
    10,897.46/15,038.85 = 6,181.94/x
  3. Step 3: Cross multiply
    10,897.46x = 15,038.85 × 6,181.94
  4. Step 4: Simplify right side
    10,897.46x = 92,969,268.37
  5. Step 5: Solve for x
    x = 92,969,268.37/10,897.46
  6. Step 6: Final answer
    x = 8,531.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.