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Finding the Fourth Proportional to 10,610.48, 14,642.39 and 5,765.16

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Solution

The fourth proportional to 10,610.48, 14,642.39 and 5,765.16 is: 7,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.48 : 14,642.39 = 5,765.16 : x
  2. Step 2: Convert to fraction form
    10,610.48/14,642.39 = 5,765.16/x
  3. Step 3: Cross multiply
    10,610.48x = 14,642.39 × 5,765.16
  4. Step 4: Simplify right side
    10,610.48x = 84,415,721.13
  5. Step 5: Solve for x
    x = 84,415,721.13/10,610.48
  6. Step 6: Final answer
    x = 7,955.89

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