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Finding the Fourth Proportional to 11,433, 15,777.54 and 7,017

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Solution

The fourth proportional to 11,433, 15,777.54 and 7,017 is: 9,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433 : 15,777.54 = 7,017 : x
  2. Step 2: Convert to fraction form
    11,433/15,777.54 = 7,017/x
  3. Step 3: Cross multiply
    11,433x = 15,777.54 × 7,017
  4. Step 4: Simplify right side
    11,433x = 110,710,998.18
  5. Step 5: Solve for x
    x = 110,710,998.18/11,433
  6. Step 6: Final answer
    x = 9,683.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.