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Finding the Fourth Proportional to 10,203.24, 15,303.10 and 2,706.86

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Solution

The fourth proportional to 10,203.24, 15,303.10 and 2,706.86 is: 4,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.24 : 15,303.10 = 2,706.86 : x
  2. Step 2: Convert to fraction form
    10,203.24/15,303.10 = 2,706.86/x
  3. Step 3: Cross multiply
    10,203.24x = 15,303.10 × 2,706.86
  4. Step 4: Simplify right side
    10,203.24x = 41,423,349.27
  5. Step 5: Solve for x
    x = 41,423,349.27/10,203.24
  6. Step 6: Final answer
    x = 4,059.82

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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.