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Finding the Fourth Proportional to 7,584.34, 11,369.50 and 4,802.59

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Solution

The fourth proportional to 7,584.34, 11,369.50 and 4,802.59 is: 7,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.34 : 11,369.50 = 4,802.59 : x
  2. Step 2: Convert to fraction form
    7,584.34/11,369.50 = 4,802.59/x
  3. Step 3: Cross multiply
    7,584.34x = 11,369.50 × 4,802.59
  4. Step 4: Simplify right side
    7,584.34x = 54,603,047.01
  5. Step 5: Solve for x
    x = 54,603,047.01/7,584.34
  6. Step 6: Final answer
    x = 7,199.45

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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.