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Finding the Fourth Proportional to 10,617, 15,928.86 and 4,774.12

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Solution

The fourth proportional to 10,617, 15,928.86 and 4,774.12 is: 7,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617 : 15,928.86 = 4,774.12 : x
  2. Step 2: Convert to fraction form
    10,617/15,928.86 = 4,774.12/x
  3. Step 3: Cross multiply
    10,617x = 15,928.86 × 4,774.12
  4. Step 4: Simplify right side
    10,617x = 76,046,289.10
  5. Step 5: Solve for x
    x = 76,046,289.10/10,617
  6. Step 6: Final answer
    x = 7,162.69

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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.