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Finding the Fourth Proportional to 10,267.94, 14,167.50 and 7,880.60

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Solution

The fourth proportional to 10,267.94, 14,167.50 and 7,880.60 is: 10,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.94 : 14,167.50 = 7,880.60 : x
  2. Step 2: Convert to fraction form
    10,267.94/14,167.50 = 7,880.60/x
  3. Step 3: Cross multiply
    10,267.94x = 14,167.50 × 7,880.60
  4. Step 4: Simplify right side
    10,267.94x = 111,648,400.50
  5. Step 5: Solve for x
    x = 111,648,400.50/10,267.94
  6. Step 6: Final answer
    x = 10,873.50

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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.