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Finding the Fourth Proportional to 10,776.48, 16,164.60 and 2,985

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Solution

The fourth proportional to 10,776.48, 16,164.60 and 2,985 is: 4,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.48 : 16,164.60 = 2,985 : x
  2. Step 2: Convert to fraction form
    10,776.48/16,164.60 = 2,985/x
  3. Step 3: Cross multiply
    10,776.48x = 16,164.60 × 2,985
  4. Step 4: Simplify right side
    10,776.48x = 48,251,331
  5. Step 5: Solve for x
    x = 48,251,331/10,776.48
  6. Step 6: Final answer
    x = 4,477.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.