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Finding the Fourth Proportional to 10,907.30, 16,347.20 and 4,659.92

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Solution

The fourth proportional to 10,907.30, 16,347.20 and 4,659.92 is: 6,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.30 : 16,347.20 = 4,659.92 : x
  2. Step 2: Convert to fraction form
    10,907.30/16,347.20 = 4,659.92/x
  3. Step 3: Cross multiply
    10,907.30x = 16,347.20 × 4,659.92
  4. Step 4: Simplify right side
    10,907.30x = 76,176,644.22
  5. Step 5: Solve for x
    x = 76,176,644.22/10,907.30
  6. Step 6: Final answer
    x = 6,984.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.