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Finding the Fourth Proportional to 7,700.44, 10,630.14 and 5,047.96

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Solution

The fourth proportional to 7,700.44, 10,630.14 and 5,047.96 is: 6,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.44 : 10,630.14 = 5,047.96 : x
  2. Step 2: Convert to fraction form
    7,700.44/10,630.14 = 5,047.96/x
  3. Step 3: Cross multiply
    7,700.44x = 10,630.14 × 5,047.96
  4. Step 4: Simplify right side
    7,700.44x = 53,660,521.51
  5. Step 5: Solve for x
    x = 53,660,521.51/7,700.44
  6. Step 6: Final answer
    x = 6,968.50

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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.