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Finding the Fourth Proportional to 11,385.47, 17,083.88 and 6,384.74

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Solution

The fourth proportional to 11,385.47, 17,083.88 and 6,384.74 is: 9,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.47 : 17,083.88 = 6,384.74 : x
  2. Step 2: Convert to fraction form
    11,385.47/17,083.88 = 6,384.74/x
  3. Step 3: Cross multiply
    11,385.47x = 17,083.88 × 6,384.74
  4. Step 4: Simplify right side
    11,385.47x = 109,076,014.65
  5. Step 5: Solve for x
    x = 109,076,014.65/11,385.47
  6. Step 6: Final answer
    x = 9,580.29

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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.