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Finding the Fourth Proportional to 10,509.09, 15,750.31 and 10,397.86

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Solution

The fourth proportional to 10,509.09, 15,750.31 and 10,397.86 is: 15,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.09 : 15,750.31 = 10,397.86 : x
  2. Step 2: Convert to fraction form
    10,509.09/15,750.31 = 10,397.86/x
  3. Step 3: Cross multiply
    10,509.09x = 15,750.31 × 10,397.86
  4. Step 4: Simplify right side
    10,509.09x = 163,769,515.01
  5. Step 5: Solve for x
    x = 163,769,515.01/10,509.09
  6. Step 6: Final answer
    x = 15,583.61

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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.