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Finding the Fourth Proportional to 7,886.48, 10,883.88 and 4,574.48

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Solution

The fourth proportional to 7,886.48, 10,883.88 and 4,574.48 is: 6,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.48 : 10,883.88 = 4,574.48 : x
  2. Step 2: Convert to fraction form
    7,886.48/10,883.88 = 4,574.48/x
  3. Step 3: Cross multiply
    7,886.48x = 10,883.88 × 4,574.48
  4. Step 4: Simplify right side
    7,886.48x = 49,788,091.38
  5. Step 5: Solve for x
    x = 49,788,091.38/7,886.48
  6. Step 6: Final answer
    x = 6,313.09

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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.