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Finding the Fourth Proportional to 7,588.69, 11,384.09 and 2,657.20

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Solution

The fourth proportional to 7,588.69, 11,384.09 and 2,657.20 is: 3,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.69 : 11,384.09 = 2,657.20 : x
  2. Step 2: Convert to fraction form
    7,588.69/11,384.09 = 2,657.20/x
  3. Step 3: Cross multiply
    7,588.69x = 11,384.09 × 2,657.20
  4. Step 4: Simplify right side
    7,588.69x = 30,249,803.95
  5. Step 5: Solve for x
    x = 30,249,803.95/7,588.69
  6. Step 6: Final answer
    x = 3,986.17

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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.