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Finding the Fourth Proportional to 7,847.40, 10,830.60 and 4,704.12

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Solution

The fourth proportional to 7,847.40, 10,830.60 and 4,704.12 is: 6,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.40 : 10,830.60 = 4,704.12 : x
  2. Step 2: Convert to fraction form
    7,847.40/10,830.60 = 4,704.12/x
  3. Step 3: Cross multiply
    7,847.40x = 10,830.60 × 4,704.12
  4. Step 4: Simplify right side
    7,847.40x = 50,948,442.07
  5. Step 5: Solve for x
    x = 50,948,442.07/7,847.40
  6. Step 6: Final answer
    x = 6,492.40

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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.