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Finding the Fourth Proportional to 10,036.60, 13,836.90 and 8,461.96

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Solution

The fourth proportional to 10,036.60, 13,836.90 and 8,461.96 is: 11,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.60 : 13,836.90 = 8,461.96 : x
  2. Step 2: Convert to fraction form
    10,036.60/13,836.90 = 8,461.96/x
  3. Step 3: Cross multiply
    10,036.60x = 13,836.90 × 8,461.96
  4. Step 4: Simplify right side
    10,036.60x = 117,087,294.32
  5. Step 5: Solve for x
    x = 117,087,294.32/10,036.60
  6. Step 6: Final answer
    x = 11,666.03

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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.