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Finding the Fourth Proportional to 10,056.34, 13,877.08 and 5,579.94

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Solution

The fourth proportional to 10,056.34, 13,877.08 and 5,579.94 is: 7,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.34 : 13,877.08 = 5,579.94 : x
  2. Step 2: Convert to fraction form
    10,056.34/13,877.08 = 5,579.94/x
  3. Step 3: Cross multiply
    10,056.34x = 13,877.08 × 5,579.94
  4. Step 4: Simplify right side
    10,056.34x = 77,433,273.78
  5. Step 5: Solve for x
    x = 77,433,273.78/10,056.34
  6. Step 6: Final answer
    x = 7,699.95

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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.