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Finding the Fourth Proportional to 8,123.68, 11,210.52 and 5,329

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Solution

The fourth proportional to 8,123.68, 11,210.52 and 5,329 is: 7,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.68 : 11,210.52 = 5,329 : x
  2. Step 2: Convert to fraction form
    8,123.68/11,210.52 = 5,329/x
  3. Step 3: Cross multiply
    8,123.68x = 11,210.52 × 5,329
  4. Step 4: Simplify right side
    8,123.68x = 59,740,861.08
  5. Step 5: Solve for x
    x = 59,740,861.08/8,123.68
  6. Step 6: Final answer
    x = 7,353.92

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1.5x scale

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.