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Finding the Fourth Proportional to 7,798.16, 11,702.30 and 4,099.29

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Solution

The fourth proportional to 7,798.16, 11,702.30 and 4,099.29 is: 6,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.16 : 11,702.30 = 4,099.29 : x
  2. Step 2: Convert to fraction form
    7,798.16/11,702.30 = 4,099.29/x
  3. Step 3: Cross multiply
    7,798.16x = 11,702.30 × 4,099.29
  4. Step 4: Simplify right side
    7,798.16x = 47,971,100.87
  5. Step 5: Solve for x
    x = 47,971,100.87/7,798.16
  6. Step 6: Final answer
    x = 6,151.60

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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.