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Finding the Fourth Proportional to 10,602.34, 15,903.24 and 5,059.60

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Solution

The fourth proportional to 10,602.34, 15,903.24 and 5,059.60 is: 7,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.34 : 15,903.24 = 5,059.60 : x
  2. Step 2: Convert to fraction form
    10,602.34/15,903.24 = 5,059.60/x
  3. Step 3: Cross multiply
    10,602.34x = 15,903.24 × 5,059.60
  4. Step 4: Simplify right side
    10,602.34x = 80,464,033.10
  5. Step 5: Solve for x
    x = 80,464,033.10/10,602.34
  6. Step 6: Final answer
    x = 7,589.27

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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.