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Finding the Fourth Proportional to 11,300.78, 15,595.47 and 6,823.64

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Solution

The fourth proportional to 11,300.78, 15,595.47 and 6,823.64 is: 9,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.78 : 15,595.47 = 6,823.64 : x
  2. Step 2: Convert to fraction form
    11,300.78/15,595.47 = 6,823.64/x
  3. Step 3: Cross multiply
    11,300.78x = 15,595.47 × 6,823.64
  4. Step 4: Simplify right side
    11,300.78x = 106,417,911.90
  5. Step 5: Solve for x
    x = 106,417,911.90/11,300.78
  6. Step 6: Final answer
    x = 9,416.86

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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.