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Finding the Fourth Proportional to 8,401.40, 12,602.10 and 7,461.80

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Solution

The fourth proportional to 8,401.40, 12,602.10 and 7,461.80 is: 11,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.40 : 12,602.10 = 7,461.80 : x
  2. Step 2: Convert to fraction form
    8,401.40/12,602.10 = 7,461.80/x
  3. Step 3: Cross multiply
    8,401.40x = 12,602.10 × 7,461.80
  4. Step 4: Simplify right side
    8,401.40x = 94,034,349.78
  5. Step 5: Solve for x
    x = 94,034,349.78/8,401.40
  6. Step 6: Final answer
    x = 11,192.70

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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.