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Finding the Fourth Proportional to 11,678.40, 17,514.06 and 4,283.46

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Solution

The fourth proportional to 11,678.40, 17,514.06 and 4,283.46 is: 6,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.40 : 17,514.06 = 4,283.46 : x
  2. Step 2: Convert to fraction form
    11,678.40/17,514.06 = 4,283.46/x
  3. Step 3: Cross multiply
    11,678.40x = 17,514.06 × 4,283.46
  4. Step 4: Simplify right side
    11,678.40x = 75,020,775.45
  5. Step 5: Solve for x
    x = 75,020,775.45/11,678.40
  6. Step 6: Final answer
    x = 6,423.89

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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.