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Finding the Fourth Proportional to 7,776.47, 11,653.18 and 6,399.59

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Solution

The fourth proportional to 7,776.47, 11,653.18 and 6,399.59 is: 9,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.47 : 11,653.18 = 6,399.59 : x
  2. Step 2: Convert to fraction form
    7,776.47/11,653.18 = 6,399.59/x
  3. Step 3: Cross multiply
    7,776.47x = 11,653.18 × 6,399.59
  4. Step 4: Simplify right side
    7,776.47x = 74,575,574.20
  5. Step 5: Solve for x
    x = 74,575,574.20/7,776.47
  6. Step 6: Final answer
    x = 9,589.90

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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.