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Finding the Fourth Proportional to 10,607.79, 15,911.59 and 6,448.96

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Solution

The fourth proportional to 10,607.79, 15,911.59 and 6,448.96 is: 9,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.79 : 15,911.59 = 6,448.96 : x
  2. Step 2: Convert to fraction form
    10,607.79/15,911.59 = 6,448.96/x
  3. Step 3: Cross multiply
    10,607.79x = 15,911.59 × 6,448.96
  4. Step 4: Simplify right side
    10,607.79x = 102,613,207.45
  5. Step 5: Solve for x
    x = 102,613,207.45/10,607.79
  6. Step 6: Final answer
    x = 9,673.38

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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.