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Finding the Fourth Proportional to 7,670.19, 11,493.50 and 4,543.98

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Solution

The fourth proportional to 7,670.19, 11,493.50 and 4,543.98 is: 6,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.19 : 11,493.50 = 4,543.98 : x
  2. Step 2: Convert to fraction form
    7,670.19/11,493.50 = 4,543.98/x
  3. Step 3: Cross multiply
    7,670.19x = 11,493.50 × 4,543.98
  4. Step 4: Simplify right side
    7,670.19x = 52,226,245.49
  5. Step 5: Solve for x
    x = 52,226,245.49/7,670.19
  6. Step 6: Final answer
    x = 6,808.99

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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.