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Finding the Fourth Proportional to 10,154.56, 14,000.52 and 7,767.44

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Solution

The fourth proportional to 10,154.56, 14,000.52 and 7,767.44 is: 10,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.56 : 14,000.52 = 7,767.44 : x
  2. Step 2: Convert to fraction form
    10,154.56/14,000.52 = 7,767.44/x
  3. Step 3: Cross multiply
    10,154.56x = 14,000.52 × 7,767.44
  4. Step 4: Simplify right side
    10,154.56x = 108,748,199.07
  5. Step 5: Solve for x
    x = 108,748,199.07/10,154.56
  6. Step 6: Final answer
    x = 10,709.30

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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.