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Finding the Fourth Proportional to 7,471.86, 10,302.03 and 4,672.50

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Solution

The fourth proportional to 7,471.86, 10,302.03 and 4,672.50 is: 6,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.86 : 10,302.03 = 4,672.50 : x
  2. Step 2: Convert to fraction form
    7,471.86/10,302.03 = 4,672.50/x
  3. Step 3: Cross multiply
    7,471.86x = 10,302.03 × 4,672.50
  4. Step 4: Simplify right side
    7,471.86x = 48,136,235.18
  5. Step 5: Solve for x
    x = 48,136,235.18/7,471.86
  6. Step 6: Final answer
    x = 6,442.34

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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.