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Finding the Fourth Proportional to 7,774.63, 11,643.36 and 4,259.35

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Solution

The fourth proportional to 7,774.63, 11,643.36 and 4,259.35 is: 6,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.63 : 11,643.36 = 4,259.35 : x
  2. Step 2: Convert to fraction form
    7,774.63/11,643.36 = 4,259.35/x
  3. Step 3: Cross multiply
    7,774.63x = 11,643.36 × 4,259.35
  4. Step 4: Simplify right side
    7,774.63x = 49,593,145.42
  5. Step 5: Solve for x
    x = 49,593,145.42/7,774.63
  6. Step 6: Final answer
    x = 6,378.84

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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.