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Finding the Fourth Proportional to 10,564.60, 14,579.22 and 5,848.78

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Solution

The fourth proportional to 10,564.60, 14,579.22 and 5,848.78 is: 8,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.60 : 14,579.22 = 5,848.78 : x
  2. Step 2: Convert to fraction form
    10,564.60/14,579.22 = 5,848.78/x
  3. Step 3: Cross multiply
    10,564.60x = 14,579.22 × 5,848.78
  4. Step 4: Simplify right side
    10,564.60x = 85,270,650.35
  5. Step 5: Solve for x
    x = 85,270,650.35/10,564.60
  6. Step 6: Final answer
    x = 8,071.36

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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.