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Finding the Fourth Proportional to 10,642, 14,679.30 and 7,653.10

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Solution

The fourth proportional to 10,642, 14,679.30 and 7,653.10 is: 10,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642 : 14,679.30 = 7,653.10 : x
  2. Step 2: Convert to fraction form
    10,642/14,679.30 = 7,653.10/x
  3. Step 3: Cross multiply
    10,642x = 14,679.30 × 7,653.10
  4. Step 4: Simplify right side
    10,642x = 112,342,150.83
  5. Step 5: Solve for x
    x = 112,342,150.83/10,642
  6. Step 6: Final answer
    x = 10,556.49

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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.