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Finding the Fourth Proportional to 11,277.94, 16,911.72 and 4,700.20

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Solution

The fourth proportional to 11,277.94, 16,911.72 and 4,700.20 is: 7,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.94 : 16,911.72 = 4,700.20 : x
  2. Step 2: Convert to fraction form
    11,277.94/16,911.72 = 4,700.20/x
  3. Step 3: Cross multiply
    11,277.94x = 16,911.72 × 4,700.20
  4. Step 4: Simplify right side
    11,277.94x = 79,488,466.34
  5. Step 5: Solve for x
    x = 79,488,466.34/11,277.94
  6. Step 6: Final answer
    x = 7,048.14

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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.