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Finding the Fourth Proportional to 7,582.48, 11,371 and 2,903.80

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Solution

The fourth proportional to 7,582.48, 11,371 and 2,903.80 is: 4,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.48 : 11,371 = 2,903.80 : x
  2. Step 2: Convert to fraction form
    7,582.48/11,371 = 2,903.80/x
  3. Step 3: Cross multiply
    7,582.48x = 11,371 × 2,903.80
  4. Step 4: Simplify right side
    7,582.48x = 33,019,109.80
  5. Step 5: Solve for x
    x = 33,019,109.80/7,582.48
  6. Step 6: Final answer
    x = 4,354.66

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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.