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Finding the Fourth Proportional to 10,647.48, 15,971.22 and 4,075.68

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Solution

The fourth proportional to 10,647.48, 15,971.22 and 4,075.68 is: 6,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.48 : 15,971.22 = 4,075.68 : x
  2. Step 2: Convert to fraction form
    10,647.48/15,971.22 = 4,075.68/x
  3. Step 3: Cross multiply
    10,647.48x = 15,971.22 × 4,075.68
  4. Step 4: Simplify right side
    10,647.48x = 65,093,581.93
  5. Step 5: Solve for x
    x = 65,093,581.93/10,647.48
  6. Step 6: Final answer
    x = 6,113.52

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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.