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Finding the Fourth Proportional to 10,291.45, 14,187.33 and 6,748.51

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Solution

The fourth proportional to 10,291.45, 14,187.33 and 6,748.51 is: 9,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.45 : 14,187.33 = 6,748.51 : x
  2. Step 2: Convert to fraction form
    10,291.45/14,187.33 = 6,748.51/x
  3. Step 3: Cross multiply
    10,291.45x = 14,187.33 × 6,748.51
  4. Step 4: Simplify right side
    10,291.45x = 95,743,338.38
  5. Step 5: Solve for x
    x = 95,743,338.38/10,291.45
  6. Step 6: Final answer
    x = 9,303.19

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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.