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Finding the Fourth Proportional to 8,478.17, 11,699.23 and 4,700.98

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Solution

The fourth proportional to 8,478.17, 11,699.23 and 4,700.98 is: 6,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.17 : 11,699.23 = 4,700.98 : x
  2. Step 2: Convert to fraction form
    8,478.17/11,699.23 = 4,700.98/x
  3. Step 3: Cross multiply
    8,478.17x = 11,699.23 × 4,700.98
  4. Step 4: Simplify right side
    8,478.17x = 54,997,846.25
  5. Step 5: Solve for x
    x = 54,997,846.25/8,478.17
  6. Step 6: Final answer
    x = 6,486.99

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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.