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Finding the Fourth Proportional to 10,461.36, 14,446.80 and 7,477.20

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Solution

The fourth proportional to 10,461.36, 14,446.80 and 7,477.20 is: 10,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.36 : 14,446.80 = 7,477.20 : x
  2. Step 2: Convert to fraction form
    10,461.36/14,446.80 = 7,477.20/x
  3. Step 3: Cross multiply
    10,461.36x = 14,446.80 × 7,477.20
  4. Step 4: Simplify right side
    10,461.36x = 108,021,612.96
  5. Step 5: Solve for x
    x = 108,021,612.96/10,461.36
  6. Step 6: Final answer
    x = 10,325.77

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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.