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Finding the Fourth Proportional to 11,756.42, 17,630.18 and 4,734.05

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Solution

The fourth proportional to 11,756.42, 17,630.18 and 4,734.05 is: 7,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.42 : 17,630.18 = 4,734.05 : x
  2. Step 2: Convert to fraction form
    11,756.42/17,630.18 = 4,734.05/x
  3. Step 3: Cross multiply
    11,756.42x = 17,630.18 × 4,734.05
  4. Step 4: Simplify right side
    11,756.42x = 83,462,041.81
  5. Step 5: Solve for x
    x = 83,462,041.81/11,756.42
  6. Step 6: Final answer
    x = 7,099.28

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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.