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Finding the Fourth Proportional to 10,840.80, 16,246.80 and 9,602.40

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Solution

The fourth proportional to 10,840.80, 16,246.80 and 9,602.40 is: 14,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.80 : 16,246.80 = 9,602.40 : x
  2. Step 2: Convert to fraction form
    10,840.80/16,246.80 = 9,602.40/x
  3. Step 3: Cross multiply
    10,840.80x = 16,246.80 × 9,602.40
  4. Step 4: Simplify right side
    10,840.80x = 156,008,272.32
  5. Step 5: Solve for x
    x = 156,008,272.32/10,840.80
  6. Step 6: Final answer
    x = 14,390.84

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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.