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Finding the Fourth Proportional to 8,276.96, 11,421.60 and 5,477.60

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Solution

The fourth proportional to 8,276.96, 11,421.60 and 5,477.60 is: 7,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.96 : 11,421.60 = 5,477.60 : x
  2. Step 2: Convert to fraction form
    8,276.96/11,421.60 = 5,477.60/x
  3. Step 3: Cross multiply
    8,276.96x = 11,421.60 × 5,477.60
  4. Step 4: Simplify right side
    8,276.96x = 62,562,956.16
  5. Step 5: Solve for x
    x = 62,562,956.16/8,276.96
  6. Step 6: Final answer
    x = 7,558.69

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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.