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Finding the Fourth Proportional to 8,277.60, 11,423.08 and 4,551.60

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Solution

The fourth proportional to 8,277.60, 11,423.08 and 4,551.60 is: 6,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.60 : 11,423.08 = 4,551.60 : x
  2. Step 2: Convert to fraction form
    8,277.60/11,423.08 = 4,551.60/x
  3. Step 3: Cross multiply
    8,277.60x = 11,423.08 × 4,551.60
  4. Step 4: Simplify right side
    8,277.60x = 51,993,233.81
  5. Step 5: Solve for x
    x = 51,993,233.81/8,277.60
  6. Step 6: Final answer
    x = 6,281.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.