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Finding the Fourth Proportional to 10,029.51, 13,841.76 and 5,780.74

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Solution

The fourth proportional to 10,029.51, 13,841.76 and 5,780.74 is: 7,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.51 : 13,841.76 = 5,780.74 : x
  2. Step 2: Convert to fraction form
    10,029.51/13,841.76 = 5,780.74/x
  3. Step 3: Cross multiply
    10,029.51x = 13,841.76 × 5,780.74
  4. Step 4: Simplify right side
    10,029.51x = 80,015,615.70
  5. Step 5: Solve for x
    x = 80,015,615.70/10,029.51
  6. Step 6: Final answer
    x = 7,978.02

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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.