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Finding the Fourth Proportional to 10,445.74, 15,664.94 and 4,901.68

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Solution

The fourth proportional to 10,445.74, 15,664.94 and 4,901.68 is: 7,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.74 : 15,664.94 = 4,901.68 : x
  2. Step 2: Convert to fraction form
    10,445.74/15,664.94 = 4,901.68/x
  3. Step 3: Cross multiply
    10,445.74x = 15,664.94 × 4,901.68
  4. Step 4: Simplify right side
    10,445.74x = 76,784,523.10
  5. Step 5: Solve for x
    x = 76,784,523.10/10,445.74
  6. Step 6: Final answer
    x = 7,350.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.