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Finding the Fourth Proportional to 8,746.92, 13,100.58 and 4,354.56

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Solution

The fourth proportional to 8,746.92, 13,100.58 and 4,354.56 is: 6,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.92 : 13,100.58 = 4,354.56 : x
  2. Step 2: Convert to fraction form
    8,746.92/13,100.58 = 4,354.56/x
  3. Step 3: Cross multiply
    8,746.92x = 13,100.58 × 4,354.56
  4. Step 4: Simplify right side
    8,746.92x = 57,047,261.64
  5. Step 5: Solve for x
    x = 57,047,261.64/8,746.92
  6. Step 6: Final answer
    x = 6,521.98

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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.