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Finding the Fourth Proportional to 11,535.50, 17,269.58 and 8,773

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Solution

The fourth proportional to 11,535.50, 17,269.58 and 8,773 is: 13,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.50 : 17,269.58 = 8,773 : x
  2. Step 2: Convert to fraction form
    11,535.50/17,269.58 = 8,773/x
  3. Step 3: Cross multiply
    11,535.50x = 17,269.58 × 8,773
  4. Step 4: Simplify right side
    11,535.50x = 151,506,025.34
  5. Step 5: Solve for x
    x = 151,506,025.34/11,535.50
  6. Step 6: Final answer
    x = 13,133.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.