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Finding the Fourth Proportional to 7,311.80, 10,970.40 and 7,041.80

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Solution

The fourth proportional to 7,311.80, 10,970.40 and 7,041.80 is: 10,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.80 : 10,970.40 = 7,041.80 : x
  2. Step 2: Convert to fraction form
    7,311.80/10,970.40 = 7,041.80/x
  3. Step 3: Cross multiply
    7,311.80x = 10,970.40 × 7,041.80
  4. Step 4: Simplify right side
    7,311.80x = 77,251,362.72
  5. Step 5: Solve for x
    x = 77,251,362.72/7,311.80
  6. Step 6: Final answer
    x = 10,565.30

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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.