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Finding the Fourth Proportional to 7,782.04, 11,670.94 and 2,587.24

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Solution

The fourth proportional to 7,782.04, 11,670.94 and 2,587.24 is: 3,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.04 : 11,670.94 = 2,587.24 : x
  2. Step 2: Convert to fraction form
    7,782.04/11,670.94 = 2,587.24/x
  3. Step 3: Cross multiply
    7,782.04x = 11,670.94 × 2,587.24
  4. Step 4: Simplify right side
    7,782.04x = 30,195,522.81
  5. Step 5: Solve for x
    x = 30,195,522.81/7,782.04
  6. Step 6: Final answer
    x = 3,880.16

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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.