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Finding the Fourth Proportional to 7,489.12, 11,205.84 and 4,702.74

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Solution

The fourth proportional to 7,489.12, 11,205.84 and 4,702.74 is: 7,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.12 : 11,205.84 = 4,702.74 : x
  2. Step 2: Convert to fraction form
    7,489.12/11,205.84 = 4,702.74/x
  3. Step 3: Cross multiply
    7,489.12x = 11,205.84 × 4,702.74
  4. Step 4: Simplify right side
    7,489.12x = 52,698,152.00
  5. Step 5: Solve for x
    x = 52,698,152.00/7,489.12
  6. Step 6: Final answer
    x = 7,036.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.