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Finding the Fourth Proportional to 10,907.84, 15,054.18 and 6,193.64

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Solution

The fourth proportional to 10,907.84, 15,054.18 and 6,193.64 is: 8,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.84 : 15,054.18 = 6,193.64 : x
  2. Step 2: Convert to fraction form
    10,907.84/15,054.18 = 6,193.64/x
  3. Step 3: Cross multiply
    10,907.84x = 15,054.18 × 6,193.64
  4. Step 4: Simplify right side
    10,907.84x = 93,240,171.42
  5. Step 5: Solve for x
    x = 93,240,171.42/10,907.84
  6. Step 6: Final answer
    x = 8,548.00

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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.