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Finding the Fourth Proportional to 8,478.47, 11,700.32 and 4,701.98

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Solution

The fourth proportional to 8,478.47, 11,700.32 and 4,701.98 is: 6,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.47 : 11,700.32 = 4,701.98 : x
  2. Step 2: Convert to fraction form
    8,478.47/11,700.32 = 4,701.98/x
  3. Step 3: Cross multiply
    8,478.47x = 11,700.32 × 4,701.98
  4. Step 4: Simplify right side
    8,478.47x = 55,014,682.99
  5. Step 5: Solve for x
    x = 55,014,682.99/8,478.47
  6. Step 6: Final answer
    x = 6,488.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.