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Finding the Fourth Proportional to 10,256.74, 14,154.12 and 5,780.88

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Solution

The fourth proportional to 10,256.74, 14,154.12 and 5,780.88 is: 7,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.74 : 14,154.12 = 5,780.88 : x
  2. Step 2: Convert to fraction form
    10,256.74/14,154.12 = 5,780.88/x
  3. Step 3: Cross multiply
    10,256.74x = 14,154.12 × 5,780.88
  4. Step 4: Simplify right side
    10,256.74x = 81,823,269.23
  5. Step 5: Solve for x
    x = 81,823,269.23/10,256.74
  6. Step 6: Final answer
    x = 7,977.51

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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.