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Finding the Fourth Proportional to 7,776.29, 10,730.88 and 4,418.64

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Solution

The fourth proportional to 7,776.29, 10,730.88 and 4,418.64 is: 6,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.29 : 10,730.88 = 4,418.64 : x
  2. Step 2: Convert to fraction form
    7,776.29/10,730.88 = 4,418.64/x
  3. Step 3: Cross multiply
    7,776.29x = 10,730.88 × 4,418.64
  4. Step 4: Simplify right side
    7,776.29x = 47,415,895.60
  5. Step 5: Solve for x
    x = 47,415,895.60/7,776.29
  6. Step 6: Final answer
    x = 6,097.50

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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.