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Finding the Fourth Proportional to 10,460.82, 15,670.71 and 6,069.06

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Solution

The fourth proportional to 10,460.82, 15,670.71 and 6,069.06 is: 9,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.82 : 15,670.71 = 6,069.06 : x
  2. Step 2: Convert to fraction form
    10,460.82/15,670.71 = 6,069.06/x
  3. Step 3: Cross multiply
    10,460.82x = 15,670.71 × 6,069.06
  4. Step 4: Simplify right side
    10,460.82x = 95,106,479.23
  5. Step 5: Solve for x
    x = 95,106,479.23/10,460.82
  6. Step 6: Final answer
    x = 9,091.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.