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Finding the Fourth Proportional to 10,498.07, 15,698.48 and 8,131.25

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Solution

The fourth proportional to 10,498.07, 15,698.48 and 8,131.25 is: 12,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.07 : 15,698.48 = 8,131.25 : x
  2. Step 2: Convert to fraction form
    10,498.07/15,698.48 = 8,131.25/x
  3. Step 3: Cross multiply
    10,498.07x = 15,698.48 × 8,131.25
  4. Step 4: Simplify right side
    10,498.07x = 127,648,146.35
  5. Step 5: Solve for x
    x = 127,648,146.35/10,498.07
  6. Step 6: Final answer
    x = 12,159.21

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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.