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Finding the Fourth Proportional to 8,775.72, 12,109.14 and 5,049

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Solution

The fourth proportional to 8,775.72, 12,109.14 and 5,049 is: 6,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.72 : 12,109.14 = 5,049 : x
  2. Step 2: Convert to fraction form
    8,775.72/12,109.14 = 5,049/x
  3. Step 3: Cross multiply
    8,775.72x = 12,109.14 × 5,049
  4. Step 4: Simplify right side
    8,775.72x = 61,139,047.86
  5. Step 5: Solve for x
    x = 61,139,047.86/8,775.72
  6. Step 6: Final answer
    x = 6,966.84

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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.