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Finding the Fourth Proportional to 10,204.81, 15,313.74 and 6,509.68

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Solution

The fourth proportional to 10,204.81, 15,313.74 and 6,509.68 is: 9,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.81 : 15,313.74 = 6,509.68 : x
  2. Step 2: Convert to fraction form
    10,204.81/15,313.74 = 6,509.68/x
  3. Step 3: Cross multiply
    10,204.81x = 15,313.74 × 6,509.68
  4. Step 4: Simplify right side
    10,204.81x = 99,687,547.00
  5. Step 5: Solve for x
    x = 99,687,547.00/10,204.81
  6. Step 6: Final answer
    x = 9,768.68

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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.