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Finding the Fourth Proportional to 8,407.87, 11,602.76 and 4,630.96

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Solution

The fourth proportional to 8,407.87, 11,602.76 and 4,630.96 is: 6,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.87 : 11,602.76 = 4,630.96 : x
  2. Step 2: Convert to fraction form
    8,407.87/11,602.76 = 4,630.96/x
  3. Step 3: Cross multiply
    8,407.87x = 11,602.76 × 4,630.96
  4. Step 4: Simplify right side
    8,407.87x = 53,731,894.29
  5. Step 5: Solve for x
    x = 53,731,894.29/8,407.87
  6. Step 6: Final answer
    x = 6,390.67

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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.