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Finding the Fourth Proportional to 7,653.12, 10,534.44 and 6,706.68

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Solution

The fourth proportional to 7,653.12, 10,534.44 and 6,706.68 is: 9,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.12 : 10,534.44 = 6,706.68 : x
  2. Step 2: Convert to fraction form
    7,653.12/10,534.44 = 6,706.68/x
  3. Step 3: Cross multiply
    7,653.12x = 10,534.44 × 6,706.68
  4. Step 4: Simplify right side
    7,653.12x = 70,651,118.06
  5. Step 5: Solve for x
    x = 70,651,118.06/7,653.12
  6. Step 6: Final answer
    x = 9,231.68

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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.