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Finding the Fourth Proportional to 10,646.88, 14,692.51 and 5,931.06

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Solution

The fourth proportional to 10,646.88, 14,692.51 and 5,931.06 is: 8,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.88 : 14,692.51 = 5,931.06 : x
  2. Step 2: Convert to fraction form
    10,646.88/14,692.51 = 5,931.06/x
  3. Step 3: Cross multiply
    10,646.88x = 14,692.51 × 5,931.06
  4. Step 4: Simplify right side
    10,646.88x = 87,142,158.36
  5. Step 5: Solve for x
    x = 87,142,158.36/10,646.88
  6. Step 6: Final answer
    x = 8,184.76

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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.