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Finding the Fourth Proportional to 11,653.65, 17,476.62 and 4,635.40

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Solution

The fourth proportional to 11,653.65, 17,476.62 and 4,635.40 is: 6,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.65 : 17,476.62 = 4,635.40 : x
  2. Step 2: Convert to fraction form
    11,653.65/17,476.62 = 4,635.40/x
  3. Step 3: Cross multiply
    11,653.65x = 17,476.62 × 4,635.40
  4. Step 4: Simplify right side
    11,653.65x = 81,011,124.35
  5. Step 5: Solve for x
    x = 81,011,124.35/11,653.65
  6. Step 6: Final answer
    x = 6,951.57

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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.