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Finding the Fourth Proportional to 8,042.46, 11,098.29 and 4,457.32

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Solution

The fourth proportional to 8,042.46, 11,098.29 and 4,457.32 is: 6,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.46 : 11,098.29 = 4,457.32 : x
  2. Step 2: Convert to fraction form
    8,042.46/11,098.29 = 4,457.32/x
  3. Step 3: Cross multiply
    8,042.46x = 11,098.29 × 4,457.32
  4. Step 4: Simplify right side
    8,042.46x = 49,468,579.95
  5. Step 5: Solve for x
    x = 49,468,579.95/8,042.46
  6. Step 6: Final answer
    x = 6,150.93

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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.