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Finding the Fourth Proportional to 6,010.51, 9,021.53 and 3,415.63

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Solution

The fourth proportional to 6,010.51, 9,021.53 and 3,415.63 is: 5,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010.51 : 9,021.53 = 3,415.63 : x
  2. Step 2: Convert to fraction form
    6,010.51/9,021.53 = 3,415.63/x
  3. Step 3: Cross multiply
    6,010.51x = 9,021.53 × 3,415.63
  4. Step 4: Simplify right side
    6,010.51x = 30,814,208.51
  5. Step 5: Solve for x
    x = 30,814,208.51/6,010.51
  6. Step 6: Final answer
    x = 5,126.72

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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.