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Finding the Fourth Proportional to 10,635.81, 14,662.31 and 7,650.69

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Solution

The fourth proportional to 10,635.81, 14,662.31 and 7,650.69 is: 10,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.81 : 14,662.31 = 7,650.69 : x
  2. Step 2: Convert to fraction form
    10,635.81/14,662.31 = 7,650.69/x
  3. Step 3: Cross multiply
    10,635.81x = 14,662.31 × 7,650.69
  4. Step 4: Simplify right side
    10,635.81x = 112,176,750.24
  5. Step 5: Solve for x
    x = 112,176,750.24/10,635.81
  6. Step 6: Final answer
    x = 10,547.08

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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.