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Finding the Fourth Proportional to 10,476.84, 14,458.12 and 5,761.20

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Solution

The fourth proportional to 10,476.84, 14,458.12 and 5,761.20 is: 7,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.84 : 14,458.12 = 5,761.20 : x
  2. Step 2: Convert to fraction form
    10,476.84/14,458.12 = 5,761.20/x
  3. Step 3: Cross multiply
    10,476.84x = 14,458.12 × 5,761.20
  4. Step 4: Simplify right side
    10,476.84x = 83,296,120.94
  5. Step 5: Solve for x
    x = 83,296,120.94/10,476.84
  6. Step 6: Final answer
    x = 7,950.50

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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.