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Finding the Fourth Proportional to 10,612.67, 15,913.53 and 7,286.00

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Solution

The fourth proportional to 10,612.67, 15,913.53 and 7,286.00 is: 10,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.67 : 15,913.53 = 7,286.00 : x
  2. Step 2: Convert to fraction form
    10,612.67/15,913.53 = 7,286.00/x
  3. Step 3: Cross multiply
    10,612.67x = 15,913.53 × 7,286.00
  4. Step 4: Simplify right side
    10,612.67x = 115,945,900.01
  5. Step 5: Solve for x
    x = 115,945,900.01/10,612.67
  6. Step 6: Final answer
    x = 10,925.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.