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Finding the Fourth Proportional to 11,085.34, 15,293.18 and 7,730.14

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Solution

The fourth proportional to 11,085.34, 15,293.18 and 7,730.14 is: 10,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085.34 : 15,293.18 = 7,730.14 : x
  2. Step 2: Convert to fraction form
    11,085.34/15,293.18 = 7,730.14/x
  3. Step 3: Cross multiply
    11,085.34x = 15,293.18 × 7,730.14
  4. Step 4: Simplify right side
    11,085.34x = 118,218,422.45
  5. Step 5: Solve for x
    x = 118,218,422.45/11,085.34
  6. Step 6: Final answer
    x = 10,664.39

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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.