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Finding the Fourth Proportional to 7,405.11, 11,053.62 and 6,470.91

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Solution

The fourth proportional to 7,405.11, 11,053.62 and 6,470.91 is: 9,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.11 : 11,053.62 = 6,470.91 : x
  2. Step 2: Convert to fraction form
    7,405.11/11,053.62 = 6,470.91/x
  3. Step 3: Cross multiply
    7,405.11x = 11,053.62 × 6,470.91
  4. Step 4: Simplify right side
    7,405.11x = 71,526,980.19
  5. Step 5: Solve for x
    x = 71,526,980.19/7,405.11
  6. Step 6: Final answer
    x = 9,659.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.