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Finding the Fourth Proportional to 10,829.86, 14,946.08 and 8,610.06

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Solution

The fourth proportional to 10,829.86, 14,946.08 and 8,610.06 is: 11,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.86 : 14,946.08 = 8,610.06 : x
  2. Step 2: Convert to fraction form
    10,829.86/14,946.08 = 8,610.06/x
  3. Step 3: Cross multiply
    10,829.86x = 14,946.08 × 8,610.06
  4. Step 4: Simplify right side
    10,829.86x = 128,686,527.78
  5. Step 5: Solve for x
    x = 128,686,527.78/10,829.86
  6. Step 6: Final answer
    x = 11,882.57

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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.