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Finding the Fourth Proportional to 11,219.65, 15,484 and 6,184.76

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Solution

The fourth proportional to 11,219.65, 15,484 and 6,184.76 is: 8,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.65 : 15,484 = 6,184.76 : x
  2. Step 2: Convert to fraction form
    11,219.65/15,484 = 6,184.76/x
  3. Step 3: Cross multiply
    11,219.65x = 15,484 × 6,184.76
  4. Step 4: Simplify right side
    11,219.65x = 95,764,823.84
  5. Step 5: Solve for x
    x = 95,764,823.84/11,219.65
  6. Step 6: Final answer
    x = 8,535.46

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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.