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Finding the Fourth Proportional to 11,515.31, 15,890.47 and 6,479.74

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Solution

The fourth proportional to 11,515.31, 15,890.47 and 6,479.74 is: 8,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.31 : 15,890.47 = 6,479.74 : x
  2. Step 2: Convert to fraction form
    11,515.31/15,890.47 = 6,479.74/x
  3. Step 3: Cross multiply
    11,515.31x = 15,890.47 × 6,479.74
  4. Step 4: Simplify right side
    11,515.31x = 102,966,114.08
  5. Step 5: Solve for x
    x = 102,966,114.08/11,515.31
  6. Step 6: Final answer
    x = 8,941.67

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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.