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Finding the Fourth Proportional to 10,929.50, 15,077.31 and 6,894.50

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Solution

The fourth proportional to 10,929.50, 15,077.31 and 6,894.50 is: 9,511.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.50 : 15,077.31 = 6,894.50 : x
  2. Step 2: Convert to fraction form
    10,929.50/15,077.31 = 6,894.50/x
  3. Step 3: Cross multiply
    10,929.50x = 15,077.31 × 6,894.50
  4. Step 4: Simplify right side
    10,929.50x = 103,950,513.80
  5. Step 5: Solve for x
    x = 103,950,513.80/10,929.50
  6. Step 6: Final answer
    x = 9,511.00

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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.