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Finding the Fourth Proportional to 7,998.71, 11,038.46 and 4,461.85

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Solution

The fourth proportional to 7,998.71, 11,038.46 and 4,461.85 is: 6,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.71 : 11,038.46 = 4,461.85 : x
  2. Step 2: Convert to fraction form
    7,998.71/11,038.46 = 4,461.85/x
  3. Step 3: Cross multiply
    7,998.71x = 11,038.46 × 4,461.85
  4. Step 4: Simplify right side
    7,998.71x = 49,251,875.25
  5. Step 5: Solve for x
    x = 49,251,875.25/7,998.71
  6. Step 6: Final answer
    x = 6,157.48

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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.