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Finding the Fourth Proportional to 7,730.16, 10,665.08 and 4,372.64

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Solution

The fourth proportional to 7,730.16, 10,665.08 and 4,372.64 is: 6,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.16 : 10,665.08 = 4,372.64 : x
  2. Step 2: Convert to fraction form
    7,730.16/10,665.08 = 4,372.64/x
  3. Step 3: Cross multiply
    7,730.16x = 10,665.08 × 4,372.64
  4. Step 4: Simplify right side
    7,730.16x = 46,634,555.41
  5. Step 5: Solve for x
    x = 46,634,555.41/7,730.16
  6. Step 6: Final answer
    x = 6,032.81

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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.