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Finding the Fourth Proportional to 10,637.92, 15,933.12 and 7,709.50

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Solution

The fourth proportional to 10,637.92, 15,933.12 and 7,709.50 is: 11,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.92 : 15,933.12 = 7,709.50 : x
  2. Step 2: Convert to fraction form
    10,637.92/15,933.12 = 7,709.50/x
  3. Step 3: Cross multiply
    10,637.92x = 15,933.12 × 7,709.50
  4. Step 4: Simplify right side
    10,637.92x = 122,836,388.64
  5. Step 5: Solve for x
    x = 122,836,388.64/10,637.92
  6. Step 6: Final answer
    x = 11,547.03

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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.