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Finding the Fourth Proportional to 7,301.50, 10,095.27 and 6,975.10

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Solution

The fourth proportional to 7,301.50, 10,095.27 and 6,975.10 is: 9,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.50 : 10,095.27 = 6,975.10 : x
  2. Step 2: Convert to fraction form
    7,301.50/10,095.27 = 6,975.10/x
  3. Step 3: Cross multiply
    7,301.50x = 10,095.27 × 6,975.10
  4. Step 4: Simplify right side
    7,301.50x = 70,415,517.78
  5. Step 5: Solve for x
    x = 70,415,517.78/7,301.50
  6. Step 6: Final answer
    x = 9,643.98

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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.