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Finding the Fourth Proportional to 7,409.76, 11,111.85 and 3,024.87

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Solution

The fourth proportional to 7,409.76, 11,111.85 and 3,024.87 is: 4,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.76 : 11,111.85 = 3,024.87 : x
  2. Step 2: Convert to fraction form
    7,409.76/11,111.85 = 3,024.87/x
  3. Step 3: Cross multiply
    7,409.76x = 11,111.85 × 3,024.87
  4. Step 4: Simplify right side
    7,409.76x = 33,611,901.71
  5. Step 5: Solve for x
    x = 33,611,901.71/7,409.76
  6. Step 6: Final answer
    x = 4,536.17

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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.