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Finding the Fourth Proportional to 10,491.90, 14,475.12 and 6,715.68

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Solution

The fourth proportional to 10,491.90, 14,475.12 and 6,715.68 is: 9,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.90 : 14,475.12 = 6,715.68 : x
  2. Step 2: Convert to fraction form
    10,491.90/14,475.12 = 6,715.68/x
  3. Step 3: Cross multiply
    10,491.90x = 14,475.12 × 6,715.68
  4. Step 4: Simplify right side
    10,491.90x = 97,210,273.88
  5. Step 5: Solve for x
    x = 97,210,273.88/10,491.90
  6. Step 6: Final answer
    x = 9,265.27

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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.