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Finding the Fourth Proportional to 11,730.98, 16,188.93 and 6,425.78

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Solution

The fourth proportional to 11,730.98, 16,188.93 and 6,425.78 is: 8,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.98 : 16,188.93 = 6,425.78 : x
  2. Step 2: Convert to fraction form
    11,730.98/16,188.93 = 6,425.78/x
  3. Step 3: Cross multiply
    11,730.98x = 16,188.93 × 6,425.78
  4. Step 4: Simplify right side
    11,730.98x = 104,026,502.62
  5. Step 5: Solve for x
    x = 104,026,502.62/11,730.98
  6. Step 6: Final answer
    x = 8,867.67

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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.