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Finding the Fourth Proportional to 10,157.34, 15,199.07 and 8,385.87

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Solution

The fourth proportional to 10,157.34, 15,199.07 and 8,385.87 is: 12,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.34 : 15,199.07 = 8,385.87 : x
  2. Step 2: Convert to fraction form
    10,157.34/15,199.07 = 8,385.87/x
  3. Step 3: Cross multiply
    10,157.34x = 15,199.07 × 8,385.87
  4. Step 4: Simplify right side
    10,157.34x = 127,457,425.14
  5. Step 5: Solve for x
    x = 127,457,425.14/10,157.34
  6. Step 6: Final answer
    x = 12,548.31

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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.