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Finding the Fourth Proportional to 7,531.58, 10,403.49 and 5,784.77

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Solution

The fourth proportional to 7,531.58, 10,403.49 and 5,784.77 is: 7,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.58 : 10,403.49 = 5,784.77 : x
  2. Step 2: Convert to fraction form
    7,531.58/10,403.49 = 5,784.77/x
  3. Step 3: Cross multiply
    7,531.58x = 10,403.49 × 5,784.77
  4. Step 4: Simplify right side
    7,531.58x = 60,181,744.83
  5. Step 5: Solve for x
    x = 60,181,744.83/7,531.58
  6. Step 6: Final answer
    x = 7,990.59

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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.