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Finding the Fourth Proportional to 8,042.47, 11,098.32 and 4,457.58

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Solution

The fourth proportional to 8,042.47, 11,098.32 and 4,457.58 is: 6,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.47 : 11,098.32 = 4,457.58 : x
  2. Step 2: Convert to fraction form
    8,042.47/11,098.32 = 4,457.58/x
  3. Step 3: Cross multiply
    8,042.47x = 11,098.32 × 4,457.58
  4. Step 4: Simplify right side
    8,042.47x = 49,471,653.36
  5. Step 5: Solve for x
    x = 49,471,653.36/8,042.47
  6. Step 6: Final answer
    x = 6,151.30

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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.