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Finding the Fourth Proportional to 6,980.16, 10,470.22 and 3,030.91

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Solution

The fourth proportional to 6,980.16, 10,470.22 and 3,030.91 is: 4,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.16 : 10,470.22 = 3,030.91 : x
  2. Step 2: Convert to fraction form
    6,980.16/10,470.22 = 3,030.91/x
  3. Step 3: Cross multiply
    6,980.16x = 10,470.22 × 3,030.91
  4. Step 4: Simplify right side
    6,980.16x = 31,734,272.11
  5. Step 5: Solve for x
    x = 31,734,272.11/6,980.16
  6. Step 6: Final answer
    x = 4,546.35

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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.