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Finding the Fourth Proportional to 7,142.80, 10,014.50 and 7,142.80

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Solution

The fourth proportional to 7,142.80, 10,014.50 and 7,142.80 is: 10,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.80 : 10,014.50 = 7,142.80 : x
  2. Step 2: Convert to fraction form
    7,142.80/10,014.50 = 7,142.80/x
  3. Step 3: Cross multiply
    7,142.80x = 10,014.50 × 7,142.80
  4. Step 4: Simplify right side
    7,142.80x = 71,531,570.60
  5. Step 5: Solve for x
    x = 71,531,570.60/7,142.80
  6. Step 6: Final answer
    x = 10,014.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.