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Finding the Fourth Proportional to 8,535.58, 12,800.01 and 4,151.74

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Solution

The fourth proportional to 8,535.58, 12,800.01 and 4,151.74 is: 6,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.58 : 12,800.01 = 4,151.74 : x
  2. Step 2: Convert to fraction form
    8,535.58/12,800.01 = 4,151.74/x
  3. Step 3: Cross multiply
    8,535.58x = 12,800.01 × 4,151.74
  4. Step 4: Simplify right side
    8,535.58x = 53,142,313.52
  5. Step 5: Solve for x
    x = 53,142,313.52/8,535.58
  6. Step 6: Final answer
    x = 6,225.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.