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Finding the Fourth Proportional to 10,816.60, 14,930.10 and 6,341.32

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Solution

The fourth proportional to 10,816.60, 14,930.10 and 6,341.32 is: 8,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.60 : 14,930.10 = 6,341.32 : x
  2. Step 2: Convert to fraction form
    10,816.60/14,930.10 = 6,341.32/x
  3. Step 3: Cross multiply
    10,816.60x = 14,930.10 × 6,341.32
  4. Step 4: Simplify right side
    10,816.60x = 94,676,541.73
  5. Step 5: Solve for x
    x = 94,676,541.73/10,816.60
  6. Step 6: Final answer
    x = 8,752.89

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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.