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Finding the Fourth Proportional to 10,897.60, 15,038.76 and 6,181.96

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Solution

The fourth proportional to 10,897.60, 15,038.76 and 6,181.96 is: 8,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.60 : 15,038.76 = 6,181.96 : x
  2. Step 2: Convert to fraction form
    10,897.60/15,038.76 = 6,181.96/x
  3. Step 3: Cross multiply
    10,897.60x = 15,038.76 × 6,181.96
  4. Step 4: Simplify right side
    10,897.60x = 92,969,012.77
  5. Step 5: Solve for x
    x = 92,969,012.77/10,897.60
  6. Step 6: Final answer
    x = 8,531.15

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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.