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Finding the Fourth Proportional to 6,583.34, 9,079.12 and 5,462.50

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Solution

The fourth proportional to 6,583.34, 9,079.12 and 5,462.50 is: 7,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.34 : 9,079.12 = 5,462.50 : x
  2. Step 2: Convert to fraction form
    6,583.34/9,079.12 = 5,462.50/x
  3. Step 3: Cross multiply
    6,583.34x = 9,079.12 × 5,462.50
  4. Step 4: Simplify right side
    6,583.34x = 49,594,647.60
  5. Step 5: Solve for x
    x = 49,594,647.60/6,583.34
  6. Step 6: Final answer
    x = 7,533.36

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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.