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Finding the Fourth Proportional to 10,466.53, 14,444.09 and 5,750.94

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Solution

The fourth proportional to 10,466.53, 14,444.09 and 5,750.94 is: 7,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.53 : 14,444.09 = 5,750.94 : x
  2. Step 2: Convert to fraction form
    10,466.53/14,444.09 = 5,750.94/x
  3. Step 3: Cross multiply
    10,466.53x = 14,444.09 × 5,750.94
  4. Step 4: Simplify right side
    10,466.53x = 83,067,094.94
  5. Step 5: Solve for x
    x = 83,067,094.94/10,466.53
  6. Step 6: Final answer
    x = 7,936.45

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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.