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Finding the Fourth Proportional to 8,750.78, 13,128.71 and 2,827.54

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Solution

The fourth proportional to 8,750.78, 13,128.71 and 2,827.54 is: 4,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,750.78 : 13,128.71 = 2,827.54 : x
  2. Step 2: Convert to fraction form
    8,750.78/13,128.71 = 2,827.54/x
  3. Step 3: Cross multiply
    8,750.78x = 13,128.71 × 2,827.54
  4. Step 4: Simplify right side
    8,750.78x = 37,121,905.71
  5. Step 5: Solve for x
    x = 37,121,905.71/8,750.78
  6. Step 6: Final answer
    x = 4,242.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.