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Finding the Fourth Proportional to 10,655.64, 14,703.39 and 6,178.77

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Solution

The fourth proportional to 10,655.64, 14,703.39 and 6,178.77 is: 8,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.64 : 14,703.39 = 6,178.77 : x
  2. Step 2: Convert to fraction form
    10,655.64/14,703.39 = 6,178.77/x
  3. Step 3: Cross multiply
    10,655.64x = 14,703.39 × 6,178.77
  4. Step 4: Simplify right side
    10,655.64x = 90,848,865.03
  5. Step 5: Solve for x
    x = 90,848,865.03/10,655.64
  6. Step 6: Final answer
    x = 8,525.89

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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.