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Finding the Fourth Proportional to 8,429.61, 11,632.25 and 4,652.78

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Solution

The fourth proportional to 8,429.61, 11,632.25 and 4,652.78 is: 6,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.61 : 11,632.25 = 4,652.78 : x
  2. Step 2: Convert to fraction form
    8,429.61/11,632.25 = 4,652.78/x
  3. Step 3: Cross multiply
    8,429.61x = 11,632.25 × 4,652.78
  4. Step 4: Simplify right side
    8,429.61x = 54,122,276.89
  5. Step 5: Solve for x
    x = 54,122,276.89/8,429.61
  6. Step 6: Final answer
    x = 6,420.50

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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.