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Finding the Fourth Proportional to 7,804.32, 11,683.92 and 6,074.40

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Solution

The fourth proportional to 7,804.32, 11,683.92 and 6,074.40 is: 9,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.32 : 11,683.92 = 6,074.40 : x
  2. Step 2: Convert to fraction form
    7,804.32/11,683.92 = 6,074.40/x
  3. Step 3: Cross multiply
    7,804.32x = 11,683.92 × 6,074.40
  4. Step 4: Simplify right side
    7,804.32x = 70,972,803.65
  5. Step 5: Solve for x
    x = 70,972,803.65/7,804.32
  6. Step 6: Final answer
    x = 9,094.04

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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.