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Finding the Fourth Proportional to 10,030.12, 13,838.82 and 5,837.80

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Solution

The fourth proportional to 10,030.12, 13,838.82 and 5,837.80 is: 8,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.12 : 13,838.82 = 5,837.80 : x
  2. Step 2: Convert to fraction form
    10,030.12/13,838.82 = 5,837.80/x
  3. Step 3: Cross multiply
    10,030.12x = 13,838.82 × 5,837.80
  4. Step 4: Simplify right side
    10,030.12x = 80,788,263.40
  5. Step 5: Solve for x
    x = 80,788,263.40/10,030.12
  6. Step 6: Final answer
    x = 8,054.57

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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.