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Finding the Fourth Proportional to 8,030.16, 11,998.74 and 5,798.37

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Solution

The fourth proportional to 8,030.16, 11,998.74 and 5,798.37 is: 8,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.16 : 11,998.74 = 5,798.37 : x
  2. Step 2: Convert to fraction form
    8,030.16/11,998.74 = 5,798.37/x
  3. Step 3: Cross multiply
    8,030.16x = 11,998.74 × 5,798.37
  4. Step 4: Simplify right side
    8,030.16x = 69,573,134.05
  5. Step 5: Solve for x
    x = 69,573,134.05/8,030.16
  6. Step 6: Final answer
    x = 8,663.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.