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Finding the Fourth Proportional to 8,417.54, 11,616 and 4,880.54

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Solution

The fourth proportional to 8,417.54, 11,616 and 4,880.54 is: 6,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.54 : 11,616 = 4,880.54 : x
  2. Step 2: Convert to fraction form
    8,417.54/11,616 = 4,880.54/x
  3. Step 3: Cross multiply
    8,417.54x = 11,616 × 4,880.54
  4. Step 4: Simplify right side
    8,417.54x = 56,692,352.64
  5. Step 5: Solve for x
    x = 56,692,352.64/8,417.54
  6. Step 6: Final answer
    x = 6,735.03

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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.