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Finding the Fourth Proportional to 7,317.36, 10,098.80 and 4,174

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Solution

The fourth proportional to 7,317.36, 10,098.80 and 4,174 is: 5,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.36 : 10,098.80 = 4,174 : x
  2. Step 2: Convert to fraction form
    7,317.36/10,098.80 = 4,174/x
  3. Step 3: Cross multiply
    7,317.36x = 10,098.80 × 4,174
  4. Step 4: Simplify right side
    7,317.36x = 42,152,391.20
  5. Step 5: Solve for x
    x = 42,152,391.20/7,317.36
  6. Step 6: Final answer
    x = 5,760.60

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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.