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Finding the Fourth Proportional to 8,335.34, 11,497.76 and 5,502.77

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Solution

The fourth proportional to 8,335.34, 11,497.76 and 5,502.77 is: 7,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.34 : 11,497.76 = 5,502.77 : x
  2. Step 2: Convert to fraction form
    8,335.34/11,497.76 = 5,502.77/x
  3. Step 3: Cross multiply
    8,335.34x = 11,497.76 × 5,502.77
  4. Step 4: Simplify right side
    8,335.34x = 63,269,471.31
  5. Step 5: Solve for x
    x = 63,269,471.31/8,335.34
  6. Step 6: Final answer
    x = 7,590.51

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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.