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Finding the Fourth Proportional to 10,698.41, 14,761.44 and 6,718.07

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Solution

The fourth proportional to 10,698.41, 14,761.44 and 6,718.07 is: 9,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.41 : 14,761.44 = 6,718.07 : x
  2. Step 2: Convert to fraction form
    10,698.41/14,761.44 = 6,718.07/x
  3. Step 3: Cross multiply
    10,698.41x = 14,761.44 × 6,718.07
  4. Step 4: Simplify right side
    10,698.41x = 99,168,424.12
  5. Step 5: Solve for x
    x = 99,168,424.12/10,698.41
  6. Step 6: Final answer
    x = 9,269.45

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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.