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Finding the Fourth Proportional to 10,622.63, 15,933.94 and 5,059.10

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Solution

The fourth proportional to 10,622.63, 15,933.94 and 5,059.10 is: 7,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.63 : 15,933.94 = 5,059.10 : x
  2. Step 2: Convert to fraction form
    10,622.63/15,933.94 = 5,059.10/x
  3. Step 3: Cross multiply
    10,622.63x = 15,933.94 × 5,059.10
  4. Step 4: Simplify right side
    10,622.63x = 80,611,423.04
  5. Step 5: Solve for x
    x = 80,611,423.04/10,622.63
  6. Step 6: Final answer
    x = 7,588.65

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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.