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Finding the Fourth Proportional to 10,252.80, 14,143.68 and 7,894.08

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Solution

The fourth proportional to 10,252.80, 14,143.68 and 7,894.08 is: 10,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.80 : 14,143.68 = 7,894.08 : x
  2. Step 2: Convert to fraction form
    10,252.80/14,143.68 = 7,894.08/x
  3. Step 3: Cross multiply
    10,252.80x = 14,143.68 × 7,894.08
  4. Step 4: Simplify right side
    10,252.80x = 111,651,341.41
  5. Step 5: Solve for x
    x = 111,651,341.41/10,252.80
  6. Step 6: Final answer
    x = 10,889.84

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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.