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Finding the Fourth Proportional to 11,455.05, 15,775.65 and 9,850.05

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Solution

The fourth proportional to 11,455.05, 15,775.65 and 9,850.05 is: 13,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.05 : 15,775.65 = 9,850.05 : x
  2. Step 2: Convert to fraction form
    11,455.05/15,775.65 = 9,850.05/x
  3. Step 3: Cross multiply
    11,455.05x = 15,775.65 × 9,850.05
  4. Step 4: Simplify right side
    11,455.05x = 155,390,941.28
  5. Step 5: Solve for x
    x = 155,390,941.28/11,455.05
  6. Step 6: Final answer
    x = 13,565.28

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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.