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Finding the Fourth Proportional to 7,735.32, 11,602.98 and 2,804.04

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Solution

The fourth proportional to 7,735.32, 11,602.98 and 2,804.04 is: 4,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.32 : 11,602.98 = 2,804.04 : x
  2. Step 2: Convert to fraction form
    7,735.32/11,602.98 = 2,804.04/x
  3. Step 3: Cross multiply
    7,735.32x = 11,602.98 × 2,804.04
  4. Step 4: Simplify right side
    7,735.32x = 32,535,220.04
  5. Step 5: Solve for x
    x = 32,535,220.04/7,735.32
  6. Step 6: Final answer
    x = 4,206.06

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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.