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Finding the Fourth Proportional to 11,710.63, 17,564.65 and 2,945.54

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Solution

The fourth proportional to 11,710.63, 17,564.65 and 2,945.54 is: 4,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.63 : 17,564.65 = 2,945.54 : x
  2. Step 2: Convert to fraction form
    11,710.63/17,564.65 = 2,945.54/x
  3. Step 3: Cross multiply
    11,710.63x = 17,564.65 × 2,945.54
  4. Step 4: Simplify right side
    11,710.63x = 51,737,364.43
  5. Step 5: Solve for x
    x = 51,737,364.43/11,710.63
  6. Step 6: Final answer
    x = 4,417.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.