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Finding the Fourth Proportional to 10,549.95, 14,560.72 and 6,076.29

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Solution

The fourth proportional to 10,549.95, 14,560.72 and 6,076.29 is: 8,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.95 : 14,560.72 = 6,076.29 : x
  2. Step 2: Convert to fraction form
    10,549.95/14,560.72 = 6,076.29/x
  3. Step 3: Cross multiply
    10,549.95x = 14,560.72 × 6,076.29
  4. Step 4: Simplify right side
    10,549.95x = 88,475,164.92
  5. Step 5: Solve for x
    x = 88,475,164.92/10,549.95
  6. Step 6: Final answer
    x = 8,386.31

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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.