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Finding the Fourth Proportional to 10,237.88, 14,128.10 and 5,761.62

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Solution

The fourth proportional to 10,237.88, 14,128.10 and 5,761.62 is: 7,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.88 : 14,128.10 = 5,761.62 : x
  2. Step 2: Convert to fraction form
    10,237.88/14,128.10 = 5,761.62/x
  3. Step 3: Cross multiply
    10,237.88x = 14,128.10 × 5,761.62
  4. Step 4: Simplify right side
    10,237.88x = 81,400,714.71
  5. Step 5: Solve for x
    x = 81,400,714.71/10,237.88
  6. Step 6: Final answer
    x = 7,950.94

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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.