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Finding the Fourth Proportional to 10,466.69, 14,444.46 and 5,751

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Solution

The fourth proportional to 10,466.69, 14,444.46 and 5,751 is: 7,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.69 : 14,444.46 = 5,751 : x
  2. Step 2: Convert to fraction form
    10,466.69/14,444.46 = 5,751/x
  3. Step 3: Cross multiply
    10,466.69x = 14,444.46 × 5,751
  4. Step 4: Simplify right side
    10,466.69x = 83,070,089.46
  5. Step 5: Solve for x
    x = 83,070,089.46/10,466.69
  6. Step 6: Final answer
    x = 7,936.62

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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.