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Finding the Fourth Proportional to 10,656.77, 14,706.36 and 5,941.35

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Solution

The fourth proportional to 10,656.77, 14,706.36 and 5,941.35 is: 8,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.77 : 14,706.36 = 5,941.35 : x
  2. Step 2: Convert to fraction form
    10,656.77/14,706.36 = 5,941.35/x
  3. Step 3: Cross multiply
    10,656.77x = 14,706.36 × 5,941.35
  4. Step 4: Simplify right side
    10,656.77x = 87,375,631.99
  5. Step 5: Solve for x
    x = 87,375,631.99/10,656.77
  6. Step 6: Final answer
    x = 8,199.08

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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.