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Finding the Fourth Proportional to 7,586.35, 11,384.64 and 2,656.03

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Solution

The fourth proportional to 7,586.35, 11,384.64 and 2,656.03 is: 3,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.35 : 11,384.64 = 2,656.03 : x
  2. Step 2: Convert to fraction form
    7,586.35/11,384.64 = 2,656.03/x
  3. Step 3: Cross multiply
    7,586.35x = 11,384.64 × 2,656.03
  4. Step 4: Simplify right side
    7,586.35x = 30,237,888.46
  5. Step 5: Solve for x
    x = 30,237,888.46/7,586.35
  6. Step 6: Final answer
    x = 3,985.83

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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.