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Finding the Fourth Proportional to 10,356.46, 15,538.20 and 4,516.90

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Solution

The fourth proportional to 10,356.46, 15,538.20 and 4,516.90 is: 6,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.46 : 15,538.20 = 4,516.90 : x
  2. Step 2: Convert to fraction form
    10,356.46/15,538.20 = 4,516.90/x
  3. Step 3: Cross multiply
    10,356.46x = 15,538.20 × 4,516.90
  4. Step 4: Simplify right side
    10,356.46x = 70,184,495.58
  5. Step 5: Solve for x
    x = 70,184,495.58/10,356.46
  6. Step 6: Final answer
    x = 6,776.88

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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.