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Finding the Fourth Proportional to 11,103.84, 15,323.40 and 6,387.84

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Solution

The fourth proportional to 11,103.84, 15,323.40 and 6,387.84 is: 8,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.84 : 15,323.40 = 6,387.84 : x
  2. Step 2: Convert to fraction form
    11,103.84/15,323.40 = 6,387.84/x
  3. Step 3: Cross multiply
    11,103.84x = 15,323.40 × 6,387.84
  4. Step 4: Simplify right side
    11,103.84x = 97,883,427.46
  5. Step 5: Solve for x
    x = 97,883,427.46/11,103.84
  6. Step 6: Final answer
    x = 8,815.28

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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.