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Finding the Fourth Proportional to 11,330.61, 15,638.74 and 6,296.56

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Solution

The fourth proportional to 11,330.61, 15,638.74 and 6,296.56 is: 8,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.61 : 15,638.74 = 6,296.56 : x
  2. Step 2: Convert to fraction form
    11,330.61/15,638.74 = 6,296.56/x
  3. Step 3: Cross multiply
    11,330.61x = 15,638.74 × 6,296.56
  4. Step 4: Simplify right side
    11,330.61x = 98,470,264.73
  5. Step 5: Solve for x
    x = 98,470,264.73/11,330.61
  6. Step 6: Final answer
    x = 8,690.64

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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.