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Finding the Fourth Proportional to 8,374.50, 11,556.95 and 4,648.50

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Solution

The fourth proportional to 8,374.50, 11,556.95 and 4,648.50 is: 6,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.50 : 11,556.95 = 4,648.50 : x
  2. Step 2: Convert to fraction form
    8,374.50/11,556.95 = 4,648.50/x
  3. Step 3: Cross multiply
    8,374.50x = 11,556.95 × 4,648.50
  4. Step 4: Simplify right side
    8,374.50x = 53,722,458.83
  5. Step 5: Solve for x
    x = 53,722,458.83/8,374.50
  6. Step 6: Final answer
    x = 6,415.00

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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.