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Finding the Fourth Proportional to 7,461.64, 10,297.24 and 4,318.04

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Solution

The fourth proportional to 7,461.64, 10,297.24 and 4,318.04 is: 5,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.64 : 10,297.24 = 4,318.04 : x
  2. Step 2: Convert to fraction form
    7,461.64/10,297.24 = 4,318.04/x
  3. Step 3: Cross multiply
    7,461.64x = 10,297.24 × 4,318.04
  4. Step 4: Simplify right side
    7,461.64x = 44,463,894.21
  5. Step 5: Solve for x
    x = 44,463,894.21/7,461.64
  6. Step 6: Final answer
    x = 5,959.00

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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.