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Finding the Fourth Proportional to 7,101.63, 10,657.95 and 5,718.35

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Solution

The fourth proportional to 7,101.63, 10,657.95 and 5,718.35 is: 8,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.63 : 10,657.95 = 5,718.35 : x
  2. Step 2: Convert to fraction form
    7,101.63/10,657.95 = 5,718.35/x
  3. Step 3: Cross multiply
    7,101.63x = 10,657.95 × 5,718.35
  4. Step 4: Simplify right side
    7,101.63x = 60,945,893.58
  5. Step 5: Solve for x
    x = 60,945,893.58/7,101.63
  6. Step 6: Final answer
    x = 8,581.96

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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.