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Finding the Fourth Proportional to 10,301.01, 15,446.48 and 7,182.51

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Solution

The fourth proportional to 10,301.01, 15,446.48 and 7,182.51 is: 10,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.01 : 15,446.48 = 7,182.51 : x
  2. Step 2: Convert to fraction form
    10,301.01/15,446.48 = 7,182.51/x
  3. Step 3: Cross multiply
    10,301.01x = 15,446.48 × 7,182.51
  4. Step 4: Simplify right side
    10,301.01x = 110,944,461.15
  5. Step 5: Solve for x
    x = 110,944,461.15/10,301.01
  6. Step 6: Final answer
    x = 10,770.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.