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Finding the Fourth Proportional to 11,420.84, 15,759.55 and 6,384.53

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Solution

The fourth proportional to 11,420.84, 15,759.55 and 6,384.53 is: 8,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.84 : 15,759.55 = 6,384.53 : x
  2. Step 2: Convert to fraction form
    11,420.84/15,759.55 = 6,384.53/x
  3. Step 3: Cross multiply
    11,420.84x = 15,759.55 × 6,384.53
  4. Step 4: Simplify right side
    11,420.84x = 100,617,319.76
  5. Step 5: Solve for x
    x = 100,617,319.76/11,420.84
  6. Step 6: Final answer
    x = 8,809.98

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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.