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Finding the Fourth Proportional to 10,644.62, 15,966.93 and 4,945.01

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Solution

The fourth proportional to 10,644.62, 15,966.93 and 4,945.01 is: 7,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.62 : 15,966.93 = 4,945.01 : x
  2. Step 2: Convert to fraction form
    10,644.62/15,966.93 = 4,945.01/x
  3. Step 3: Cross multiply
    10,644.62x = 15,966.93 × 4,945.01
  4. Step 4: Simplify right side
    10,644.62x = 78,956,628.52
  5. Step 5: Solve for x
    x = 78,956,628.52/10,644.62
  6. Step 6: Final answer
    x = 7,417.52

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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.