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Finding the Fourth Proportional to 7,284.52, 10,052.64 and 4,140.64

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Solution

The fourth proportional to 7,284.52, 10,052.64 and 4,140.64 is: 5,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.52 : 10,052.64 = 4,140.64 : x
  2. Step 2: Convert to fraction form
    7,284.52/10,052.64 = 4,140.64/x
  3. Step 3: Cross multiply
    7,284.52x = 10,052.64 × 4,140.64
  4. Step 4: Simplify right side
    7,284.52x = 41,624,363.29
  5. Step 5: Solve for x
    x = 41,624,363.29/7,284.52
  6. Step 6: Final answer
    x = 5,714.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.