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Finding the Fourth Proportional to 11,348.40, 15,646.70 and 7,308.38

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Solution

The fourth proportional to 11,348.40, 15,646.70 and 7,308.38 is: 10,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.40 : 15,646.70 = 7,308.38 : x
  2. Step 2: Convert to fraction form
    11,348.40/15,646.70 = 7,308.38/x
  3. Step 3: Cross multiply
    11,348.40x = 15,646.70 × 7,308.38
  4. Step 4: Simplify right side
    11,348.40x = 114,352,029.35
  5. Step 5: Solve for x
    x = 114,352,029.35/11,348.40
  6. Step 6: Final answer
    x = 10,076.49

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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.