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Finding the Fourth Proportional to 10,460.68, 14,435.68 and 5,680.58

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Solution

The fourth proportional to 10,460.68, 14,435.68 and 5,680.58 is: 7,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.68 : 14,435.68 = 5,680.58 : x
  2. Step 2: Convert to fraction form
    10,460.68/14,435.68 = 5,680.58/x
  3. Step 3: Cross multiply
    10,460.68x = 14,435.68 × 5,680.58
  4. Step 4: Simplify right side
    10,460.68x = 82,003,040.57
  5. Step 5: Solve for x
    x = 82,003,040.57/10,460.68
  6. Step 6: Final answer
    x = 7,839.17

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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.