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Finding the Fourth Proportional to 11,873.40, 16,386.21 and 6,569.88

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Solution

The fourth proportional to 11,873.40, 16,386.21 and 6,569.88 is: 9,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.40 : 16,386.21 = 6,569.88 : x
  2. Step 2: Convert to fraction form
    11,873.40/16,386.21 = 6,569.88/x
  3. Step 3: Cross multiply
    11,873.40x = 16,386.21 × 6,569.88
  4. Step 4: Simplify right side
    11,873.40x = 107,655,433.35
  5. Step 5: Solve for x
    x = 107,655,433.35/11,873.40
  6. Step 6: Final answer
    x = 9,066.94

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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.