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Finding the Fourth Proportional to 6,114.60, 8,430.72 and 5,168.68

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Solution

The fourth proportional to 6,114.60, 8,430.72 and 5,168.68 is: 7,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.60 : 8,430.72 = 5,168.68 : x
  2. Step 2: Convert to fraction form
    6,114.60/8,430.72 = 5,168.68/x
  3. Step 3: Cross multiply
    6,114.60x = 8,430.72 × 5,168.68
  4. Step 4: Simplify right side
    6,114.60x = 43,575,693.85
  5. Step 5: Solve for x
    x = 43,575,693.85/6,114.60
  6. Step 6: Final answer
    x = 7,126.50

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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.