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Finding the Fourth Proportional to 11,300.76, 15,607.82 and 7,709.55

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Solution

The fourth proportional to 11,300.76, 15,607.82 and 7,709.55 is: 10,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.76 : 15,607.82 = 7,709.55 : x
  2. Step 2: Convert to fraction form
    11,300.76/15,607.82 = 7,709.55/x
  3. Step 3: Cross multiply
    11,300.76x = 15,607.82 × 7,709.55
  4. Step 4: Simplify right side
    11,300.76x = 120,329,273.85
  5. Step 5: Solve for x
    x = 120,329,273.85/11,300.76
  6. Step 6: Final answer
    x = 10,647.89

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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.