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Finding the Fourth Proportional to 8,446.95, 11,652.66 and 5,465.34

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Solution

The fourth proportional to 8,446.95, 11,652.66 and 5,465.34 is: 7,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.95 : 11,652.66 = 5,465.34 : x
  2. Step 2: Convert to fraction form
    8,446.95/11,652.66 = 5,465.34/x
  3. Step 3: Cross multiply
    8,446.95x = 11,652.66 × 5,465.34
  4. Step 4: Simplify right side
    8,446.95x = 63,685,748.80
  5. Step 5: Solve for x
    x = 63,685,748.80/8,446.95
  6. Step 6: Final answer
    x = 7,539.50

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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.