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Finding the Fourth Proportional to 10,030.01, 13,841.91 and 5,782.19

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Solution

The fourth proportional to 10,030.01, 13,841.91 and 5,782.19 is: 7,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.01 : 13,841.91 = 5,782.19 : x
  2. Step 2: Convert to fraction form
    10,030.01/13,841.91 = 5,782.19/x
  3. Step 3: Cross multiply
    10,030.01x = 13,841.91 × 5,782.19
  4. Step 4: Simplify right side
    10,030.01x = 80,036,484.37
  5. Step 5: Solve for x
    x = 80,036,484.37/10,030.01
  6. Step 6: Final answer
    x = 7,979.71

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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.