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Finding the Fourth Proportional to 8,177.04, 12,255.84 and 4,707

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Solution

The fourth proportional to 8,177.04, 12,255.84 and 4,707 is: 7,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.04 : 12,255.84 = 4,707 : x
  2. Step 2: Convert to fraction form
    8,177.04/12,255.84 = 4,707/x
  3. Step 3: Cross multiply
    8,177.04x = 12,255.84 × 4,707
  4. Step 4: Simplify right side
    8,177.04x = 57,688,238.88
  5. Step 5: Solve for x
    x = 57,688,238.88/8,177.04
  6. Step 6: Final answer
    x = 7,054.90

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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.