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Finding the Fourth Proportional to 10,617.33, 14,653.53 and 7,643.01

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Solution

The fourth proportional to 10,617.33, 14,653.53 and 7,643.01 is: 10,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.33 : 14,653.53 = 7,643.01 : x
  2. Step 2: Convert to fraction form
    10,617.33/14,653.53 = 7,643.01/x
  3. Step 3: Cross multiply
    10,617.33x = 14,653.53 × 7,643.01
  4. Step 4: Simplify right side
    10,617.33x = 111,997,076.33
  5. Step 5: Solve for x
    x = 111,997,076.33/10,617.33
  6. Step 6: Final answer
    x = 10,548.52

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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.