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Finding the Fourth Proportional to 11,386.47, 17,085.38 and 6,385.74

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Solution

The fourth proportional to 11,386.47, 17,085.38 and 6,385.74 is: 9,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.47 : 17,085.38 = 6,385.74 : x
  2. Step 2: Convert to fraction form
    11,386.47/17,085.38 = 6,385.74/x
  3. Step 3: Cross multiply
    11,386.47x = 17,085.38 × 6,385.74
  4. Step 4: Simplify right side
    11,386.47x = 109,102,794.48
  5. Step 5: Solve for x
    x = 109,102,794.48/11,386.47
  6. Step 6: Final answer
    x = 9,581.79

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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.