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Finding the Fourth Proportional to 10,699.44, 14,762.16 and 6,161.28

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Solution

The fourth proportional to 10,699.44, 14,762.16 and 6,161.28 is: 8,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.44 : 14,762.16 = 6,161.28 : x
  2. Step 2: Convert to fraction form
    10,699.44/14,762.16 = 6,161.28/x
  3. Step 3: Cross multiply
    10,699.44x = 14,762.16 × 6,161.28
  4. Step 4: Simplify right side
    10,699.44x = 90,953,801.16
  5. Step 5: Solve for x
    x = 90,953,801.16/10,699.44
  6. Step 6: Final answer
    x = 8,500.80

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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.