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Finding the Fourth Proportional to 10,864.16, 14,990.64 and 6,673.76

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Solution

The fourth proportional to 10,864.16, 14,990.64 and 6,673.76 is: 9,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.16 : 14,990.64 = 6,673.76 : x
  2. Step 2: Convert to fraction form
    10,864.16/14,990.64 = 6,673.76/x
  3. Step 3: Cross multiply
    10,864.16x = 14,990.64 × 6,673.76
  4. Step 4: Simplify right side
    10,864.16x = 100,043,933.61
  5. Step 5: Solve for x
    x = 100,043,933.61/10,864.16
  6. Step 6: Final answer
    x = 9,208.62

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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.