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Finding the Fourth Proportional to 11,084.65, 15,296.71 and 6,834.01

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Solution

The fourth proportional to 11,084.65, 15,296.71 and 6,834.01 is: 9,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084.65 : 15,296.71 = 6,834.01 : x
  2. Step 2: Convert to fraction form
    11,084.65/15,296.71 = 6,834.01/x
  3. Step 3: Cross multiply
    11,084.65x = 15,296.71 × 6,834.01
  4. Step 4: Simplify right side
    11,084.65x = 104,537,869.11
  5. Step 5: Solve for x
    x = 104,537,869.11/11,084.65
  6. Step 6: Final answer
    x = 9,430.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.