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Finding the Fourth Proportional to 10,753.83, 14,841.90 and 7,738.93

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Solution

The fourth proportional to 10,753.83, 14,841.90 and 7,738.93 is: 10,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.83 : 14,841.90 = 7,738.93 : x
  2. Step 2: Convert to fraction form
    10,753.83/14,841.90 = 7,738.93/x
  3. Step 3: Cross multiply
    10,753.83x = 14,841.90 × 7,738.93
  4. Step 4: Simplify right side
    10,753.83x = 114,860,443.72
  5. Step 5: Solve for x
    x = 114,860,443.72/10,753.83
  6. Step 6: Final answer
    x = 10,680.89

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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.