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Finding the Fourth Proportional to 10,783.76, 14,880.52 and 6,003.60

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Solution

The fourth proportional to 10,783.76, 14,880.52 and 6,003.60 is: 8,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.76 : 14,880.52 = 6,003.60 : x
  2. Step 2: Convert to fraction form
    10,783.76/14,880.52 = 6,003.60/x
  3. Step 3: Cross multiply
    10,783.76x = 14,880.52 × 6,003.60
  4. Step 4: Simplify right side
    10,783.76x = 89,336,689.87
  5. Step 5: Solve for x
    x = 89,336,689.87/10,783.76
  6. Step 6: Final answer
    x = 8,284.37

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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.