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Finding the Fourth Proportional to 11,758.94, 17,646.93 and 4,364.45

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Solution

The fourth proportional to 11,758.94, 17,646.93 and 4,364.45 is: 6,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.94 : 17,646.93 = 4,364.45 : x
  2. Step 2: Convert to fraction form
    11,758.94/17,646.93 = 4,364.45/x
  3. Step 3: Cross multiply
    11,758.94x = 17,646.93 × 4,364.45
  4. Step 4: Simplify right side
    11,758.94x = 77,019,143.64
  5. Step 5: Solve for x
    x = 77,019,143.64/11,758.94
  6. Step 6: Final answer
    x = 6,549.84

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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.