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Finding the Fourth Proportional to 10,461.48, 14,436.78 and 5,985.30

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Solution

The fourth proportional to 10,461.48, 14,436.78 and 5,985.30 is: 8,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.48 : 14,436.78 = 5,985.30 : x
  2. Step 2: Convert to fraction form
    10,461.48/14,436.78 = 5,985.30/x
  3. Step 3: Cross multiply
    10,461.48x = 14,436.78 × 5,985.30
  4. Step 4: Simplify right side
    10,461.48x = 86,408,459.33
  5. Step 5: Solve for x
    x = 86,408,459.33/10,461.48
  6. Step 6: Final answer
    x = 8,259.68

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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.