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Finding the Fourth Proportional to 10,445.07, 15,663.73 and 7,323.48

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Solution

The fourth proportional to 10,445.07, 15,663.73 and 7,323.48 is: 10,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.07 : 15,663.73 = 7,323.48 : x
  2. Step 2: Convert to fraction form
    10,445.07/15,663.73 = 7,323.48/x
  3. Step 3: Cross multiply
    10,445.07x = 15,663.73 × 7,323.48
  4. Step 4: Simplify right side
    10,445.07x = 114,713,013.38
  5. Step 5: Solve for x
    x = 114,713,013.38/10,445.07
  6. Step 6: Final answer
    x = 10,982.50

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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.