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Finding the Fourth Proportional to 6,937.60, 10,406.40 and 4,172.80

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Solution

The fourth proportional to 6,937.60, 10,406.40 and 4,172.80 is: 6,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.60 : 10,406.40 = 4,172.80 : x
  2. Step 2: Convert to fraction form
    6,937.60/10,406.40 = 4,172.80/x
  3. Step 3: Cross multiply
    6,937.60x = 10,406.40 × 4,172.80
  4. Step 4: Simplify right side
    6,937.60x = 43,423,825.92
  5. Step 5: Solve for x
    x = 43,423,825.92/6,937.60
  6. Step 6: Final answer
    x = 6,259.20

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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.