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Finding the Fourth Proportional to 10,030.62, 13,843.98 and 5,780.93

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Solution

The fourth proportional to 10,030.62, 13,843.98 and 5,780.93 is: 7,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.62 : 13,843.98 = 5,780.93 : x
  2. Step 2: Convert to fraction form
    10,030.62/13,843.98 = 5,780.93/x
  3. Step 3: Cross multiply
    10,030.62x = 13,843.98 × 5,780.93
  4. Step 4: Simplify right side
    10,030.62x = 80,031,010.08
  5. Step 5: Solve for x
    x = 80,031,010.08/10,030.62
  6. Step 6: Final answer
    x = 7,978.67

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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.