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Finding the Fourth Proportional to 10,030.04, 13,843.14 and 5,840.76

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Solution

The fourth proportional to 10,030.04, 13,843.14 and 5,840.76 is: 8,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.04 : 13,843.14 = 5,840.76 : x
  2. Step 2: Convert to fraction form
    10,030.04/13,843.14 = 5,840.76/x
  3. Step 3: Cross multiply
    10,030.04x = 13,843.14 × 5,840.76
  4. Step 4: Simplify right side
    10,030.04x = 80,854,458.39
  5. Step 5: Solve for x
    x = 80,854,458.39/10,030.04
  6. Step 6: Final answer
    x = 8,061.23

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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.