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Finding the Fourth Proportional to 10,807.60, 16,211.40 and 4,975.60

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Solution

The fourth proportional to 10,807.60, 16,211.40 and 4,975.60 is: 7,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.60 : 16,211.40 = 4,975.60 : x
  2. Step 2: Convert to fraction form
    10,807.60/16,211.40 = 4,975.60/x
  3. Step 3: Cross multiply
    10,807.60x = 16,211.40 × 4,975.60
  4. Step 4: Simplify right side
    10,807.60x = 80,661,441.84
  5. Step 5: Solve for x
    x = 80,661,441.84/10,807.60
  6. Step 6: Final answer
    x = 7,463.40

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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.