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Finding the Fourth Proportional to 8,648.96, 11,935.80 and 5,291.71

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Solution

The fourth proportional to 8,648.96, 11,935.80 and 5,291.71 is: 7,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.96 : 11,935.80 = 5,291.71 : x
  2. Step 2: Convert to fraction form
    8,648.96/11,935.80 = 5,291.71/x
  3. Step 3: Cross multiply
    8,648.96x = 11,935.80 × 5,291.71
  4. Step 4: Simplify right side
    8,648.96x = 63,160,762.38
  5. Step 5: Solve for x
    x = 63,160,762.38/8,648.96
  6. Step 6: Final answer
    x = 7,302.70

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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.