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Finding the Fourth Proportional to 7,675.26, 10,592.37 and 5,783.50

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Solution

The fourth proportional to 7,675.26, 10,592.37 and 5,783.50 is: 7,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.26 : 10,592.37 = 5,783.50 : x
  2. Step 2: Convert to fraction form
    7,675.26/10,592.37 = 5,783.50/x
  3. Step 3: Cross multiply
    7,675.26x = 10,592.37 × 5,783.50
  4. Step 4: Simplify right side
    7,675.26x = 61,260,985.14
  5. Step 5: Solve for x
    x = 61,260,985.14/7,675.26
  6. Step 6: Final answer
    x = 7,981.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.