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Finding the Fourth Proportional to 11,038.07, 15,231.93 and 6,002.29

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Solution

The fourth proportional to 11,038.07, 15,231.93 and 6,002.29 is: 8,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.07 : 15,231.93 = 6,002.29 : x
  2. Step 2: Convert to fraction form
    11,038.07/15,231.93 = 6,002.29/x
  3. Step 3: Cross multiply
    11,038.07x = 15,231.93 × 6,002.29
  4. Step 4: Simplify right side
    11,038.07x = 91,426,384.96
  5. Step 5: Solve for x
    x = 91,426,384.96/11,038.07
  6. Step 6: Final answer
    x = 8,282.82

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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.