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Finding the Fourth Proportional to 10,030.24, 13,838.88 and 5,837.68

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Solution

The fourth proportional to 10,030.24, 13,838.88 and 5,837.68 is: 8,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.24 : 13,838.88 = 5,837.68 : x
  2. Step 2: Convert to fraction form
    10,030.24/13,838.88 = 5,837.68/x
  3. Step 3: Cross multiply
    10,030.24x = 13,838.88 × 5,837.68
  4. Step 4: Simplify right side
    10,030.24x = 80,786,953.00
  5. Step 5: Solve for x
    x = 80,786,953.00/10,030.24
  6. Step 6: Final answer
    x = 8,054.34

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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.