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Finding the Fourth Proportional to 8,390.10, 11,576.58 and 5,032.02

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Solution

The fourth proportional to 8,390.10, 11,576.58 and 5,032.02 is: 6,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.10 : 11,576.58 = 5,032.02 : x
  2. Step 2: Convert to fraction form
    8,390.10/11,576.58 = 5,032.02/x
  3. Step 3: Cross multiply
    8,390.10x = 11,576.58 × 5,032.02
  4. Step 4: Simplify right side
    8,390.10x = 58,253,582.09
  5. Step 5: Solve for x
    x = 58,253,582.09/8,390.10
  6. Step 6: Final answer
    x = 6,943.13

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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.