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Finding the Fourth Proportional to 10,300.44, 14,216.96 and 6,052

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Solution

The fourth proportional to 10,300.44, 14,216.96 and 6,052 is: 8,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.44 : 14,216.96 = 6,052 : x
  2. Step 2: Convert to fraction form
    10,300.44/14,216.96 = 6,052/x
  3. Step 3: Cross multiply
    10,300.44x = 14,216.96 × 6,052
  4. Step 4: Simplify right side
    10,300.44x = 86,041,041.92
  5. Step 5: Solve for x
    x = 86,041,041.92/10,300.44
  6. Step 6: Final answer
    x = 8,353.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.