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Finding the Fourth Proportional to 7,758.64, 11,639.34 and 4,642.18

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Solution

The fourth proportional to 7,758.64, 11,639.34 and 4,642.18 is: 6,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.64 : 11,639.34 = 4,642.18 : x
  2. Step 2: Convert to fraction form
    7,758.64/11,639.34 = 4,642.18/x
  3. Step 3: Cross multiply
    7,758.64x = 11,639.34 × 4,642.18
  4. Step 4: Simplify right side
    7,758.64x = 54,031,911.36
  5. Step 5: Solve for x
    x = 54,031,911.36/7,758.64
  6. Step 6: Final answer
    x = 6,964.10

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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.