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Finding the Fourth Proportional to 7,448.64, 10,280.16 and 4,968.96

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Solution

The fourth proportional to 7,448.64, 10,280.16 and 4,968.96 is: 6,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.64 : 10,280.16 = 4,968.96 : x
  2. Step 2: Convert to fraction form
    7,448.64/10,280.16 = 4,968.96/x
  3. Step 3: Cross multiply
    7,448.64x = 10,280.16 × 4,968.96
  4. Step 4: Simplify right side
    7,448.64x = 51,081,703.83
  5. Step 5: Solve for x
    x = 51,081,703.83/7,448.64
  6. Step 6: Final answer
    x = 6,857.86

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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.