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Finding the Fourth Proportional to 7,518.34, 11,278.93 and 2,323

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Solution

The fourth proportional to 7,518.34, 11,278.93 and 2,323 is: 3,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,518.34 : 11,278.93 = 2,323 : x
  2. Step 2: Convert to fraction form
    7,518.34/11,278.93 = 2,323/x
  3. Step 3: Cross multiply
    7,518.34x = 11,278.93 × 2,323
  4. Step 4: Simplify right side
    7,518.34x = 26,200,954.39
  5. Step 5: Solve for x
    x = 26,200,954.39/7,518.34
  6. Step 6: Final answer
    x = 3,484.94

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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.