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Finding the Fourth Proportional to 10,622.33, 14,640.75 and 7,259.32

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Solution

The fourth proportional to 10,622.33, 14,640.75 and 7,259.32 is: 10,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.33 : 14,640.75 = 7,259.32 : x
  2. Step 2: Convert to fraction form
    10,622.33/14,640.75 = 7,259.32/x
  3. Step 3: Cross multiply
    10,622.33x = 14,640.75 × 7,259.32
  4. Step 4: Simplify right side
    10,622.33x = 106,281,889.29
  5. Step 5: Solve for x
    x = 106,281,889.29/10,622.33
  6. Step 6: Final answer
    x = 10,005.52

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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.