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Finding the Fourth Proportional to 7,564.96, 11,345.70 and 2,885.50

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Solution

The fourth proportional to 7,564.96, 11,345.70 and 2,885.50 is: 4,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.96 : 11,345.70 = 2,885.50 : x
  2. Step 2: Convert to fraction form
    7,564.96/11,345.70 = 2,885.50/x
  3. Step 3: Cross multiply
    7,564.96x = 11,345.70 × 2,885.50
  4. Step 4: Simplify right side
    7,564.96x = 32,738,017.35
  5. Step 5: Solve for x
    x = 32,738,017.35/7,564.96
  6. Step 6: Final answer
    x = 4,327.59

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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.