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Finding the Fourth Proportional to 5,363.61, 8,036.66 and 5,158.59

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Solution

The fourth proportional to 5,363.61, 8,036.66 and 5,158.59 is: 7,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.61 : 8,036.66 = 5,158.59 : x
  2. Step 2: Convert to fraction form
    5,363.61/8,036.66 = 5,158.59/x
  3. Step 3: Cross multiply
    5,363.61x = 8,036.66 × 5,158.59
  4. Step 4: Simplify right side
    5,363.61x = 41,457,808.12
  5. Step 5: Solve for x
    x = 41,457,808.12/5,363.61
  6. Step 6: Final answer
    x = 7,729.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.