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Finding the Fourth Proportional to 10,496.31, 14,485.02 and 5,780.76

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Solution

The fourth proportional to 10,496.31, 14,485.02 and 5,780.76 is: 7,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.31 : 14,485.02 = 5,780.76 : x
  2. Step 2: Convert to fraction form
    10,496.31/14,485.02 = 5,780.76/x
  3. Step 3: Cross multiply
    10,496.31x = 14,485.02 × 5,780.76
  4. Step 4: Simplify right side
    10,496.31x = 83,734,424.22
  5. Step 5: Solve for x
    x = 83,734,424.22/10,496.31
  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.