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Finding the Fourth Proportional to 6,112.50, 8,432.64 and 4,693.74

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Solution

The fourth proportional to 6,112.50, 8,432.64 and 4,693.74 is: 6,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.50 : 8,432.64 = 4,693.74 : x
  2. Step 2: Convert to fraction form
    6,112.50/8,432.64 = 4,693.74/x
  3. Step 3: Cross multiply
    6,112.50x = 8,432.64 × 4,693.74
  4. Step 4: Simplify right side
    6,112.50x = 39,580,619.67
  5. Step 5: Solve for x
    x = 39,580,619.67/6,112.50
  6. Step 6: Final answer
    x = 6,475.36

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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.