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Finding the Fourth Proportional to 11,300.40, 15,586.79 and 7,757.46

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Solution

The fourth proportional to 11,300.40, 15,586.79 and 7,757.46 is: 10,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.40 : 15,586.79 = 7,757.46 : x
  2. Step 2: Convert to fraction form
    11,300.40/15,586.79 = 7,757.46/x
  3. Step 3: Cross multiply
    11,300.40x = 15,586.79 × 7,757.46
  4. Step 4: Simplify right side
    11,300.40x = 120,913,899.95
  5. Step 5: Solve for x
    x = 120,913,899.95/11,300.40
  6. Step 6: Final answer
    x = 10,699.97

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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.