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Finding the Fourth Proportional to 10,466.14, 14,443.98 and 5,750.48

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Solution

The fourth proportional to 10,466.14, 14,443.98 and 5,750.48 is: 7,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.14 : 14,443.98 = 5,750.48 : x
  2. Step 2: Convert to fraction form
    10,466.14/14,443.98 = 5,750.48/x
  3. Step 3: Cross multiply
    10,466.14x = 14,443.98 × 5,750.48
  4. Step 4: Simplify right side
    10,466.14x = 83,059,818.11
  5. Step 5: Solve for x
    x = 83,059,818.11/10,466.14
  6. Step 6: Final answer
    x = 7,936.05

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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.