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Finding the Fourth Proportional to 10,255.28, 14,153.64 and 5,780

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Solution

The fourth proportional to 10,255.28, 14,153.64 and 5,780 is: 7,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.28 : 14,153.64 = 5,780 : x
  2. Step 2: Convert to fraction form
    10,255.28/14,153.64 = 5,780/x
  3. Step 3: Cross multiply
    10,255.28x = 14,153.64 × 5,780
  4. Step 4: Simplify right side
    10,255.28x = 81,808,039.20
  5. Step 5: Solve for x
    x = 81,808,039.20/10,255.28
  6. Step 6: Final answer
    x = 7,977.16

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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.