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Finding the Fourth Proportional to 10,895.31, 16,339.02 and 4,655.75

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Solution

The fourth proportional to 10,895.31, 16,339.02 and 4,655.75 is: 6,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.31 : 16,339.02 = 4,655.75 : x
  2. Step 2: Convert to fraction form
    10,895.31/16,339.02 = 4,655.75/x
  3. Step 3: Cross multiply
    10,895.31x = 16,339.02 × 4,655.75
  4. Step 4: Simplify right side
    10,895.31x = 76,070,431.07
  5. Step 5: Solve for x
    x = 76,070,431.07/10,895.31
  6. Step 6: Final answer
    x = 6,981.94

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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.