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Finding the Fourth Proportional to 10,656.28, 14,690.26 and 7,459.65

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Solution

The fourth proportional to 10,656.28, 14,690.26 and 7,459.65 is: 10,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.28 : 14,690.26 = 7,459.65 : x
  2. Step 2: Convert to fraction form
    10,656.28/14,690.26 = 7,459.65/x
  3. Step 3: Cross multiply
    10,656.28x = 14,690.26 × 7,459.65
  4. Step 4: Simplify right side
    10,656.28x = 109,584,198.01
  5. Step 5: Solve for x
    x = 109,584,198.01/10,656.28
  6. Step 6: Final answer
    x = 10,283.53

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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.