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Finding the Fourth Proportional to 11,405.65, 15,735.32 and 6,624.78

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Solution

The fourth proportional to 11,405.65, 15,735.32 and 6,624.78 is: 9,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.65 : 15,735.32 = 6,624.78 : x
  2. Step 2: Convert to fraction form
    11,405.65/15,735.32 = 6,624.78/x
  3. Step 3: Cross multiply
    11,405.65x = 15,735.32 × 6,624.78
  4. Step 4: Simplify right side
    11,405.65x = 104,243,033.23
  5. Step 5: Solve for x
    x = 104,243,033.23/11,405.65
  6. Step 6: Final answer
    x = 9,139.60

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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.