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Finding the Fourth Proportional to 10,592.88, 14,619.06 and 5,877.60

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Solution

The fourth proportional to 10,592.88, 14,619.06 and 5,877.60 is: 8,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.88 : 14,619.06 = 5,877.60 : x
  2. Step 2: Convert to fraction form
    10,592.88/14,619.06 = 5,877.60/x
  3. Step 3: Cross multiply
    10,592.88x = 14,619.06 × 5,877.60
  4. Step 4: Simplify right side
    10,592.88x = 85,924,987.06
  5. Step 5: Solve for x
    x = 85,924,987.06/10,592.88
  6. Step 6: Final answer
    x = 8,111.58

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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.