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Finding the Fourth Proportional to 10,420.51, 15,603.09 and 8,146.37

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Solution

The fourth proportional to 10,420.51, 15,603.09 and 8,146.37 is: 12,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.51 : 15,603.09 = 8,146.37 : x
  2. Step 2: Convert to fraction form
    10,420.51/15,603.09 = 8,146.37/x
  3. Step 3: Cross multiply
    10,420.51x = 15,603.09 × 8,146.37
  4. Step 4: Simplify right side
    10,420.51x = 127,108,558.47
  5. Step 5: Solve for x
    x = 127,108,558.47/10,420.51
  6. Step 6: Final answer
    x = 12,197.92

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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.