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Finding the Fourth Proportional to 10,285.97, 14,195.69 and 7,417.06

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Solution

The fourth proportional to 10,285.97, 14,195.69 and 7,417.06 is: 10,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.97 : 14,195.69 = 7,417.06 : x
  2. Step 2: Convert to fraction form
    10,285.97/14,195.69 = 7,417.06/x
  3. Step 3: Cross multiply
    10,285.97x = 14,195.69 × 7,417.06
  4. Step 4: Simplify right side
    10,285.97x = 105,290,317.40
  5. Step 5: Solve for x
    x = 105,290,317.40/10,285.97
  6. Step 6: Final answer
    x = 10,236.30

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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.