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Finding the Fourth Proportional to 10,457.78, 14,438.49 and 6,483.14

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Solution

The fourth proportional to 10,457.78, 14,438.49 and 6,483.14 is: 8,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.78 : 14,438.49 = 6,483.14 : x
  2. Step 2: Convert to fraction form
    10,457.78/14,438.49 = 6,483.14/x
  3. Step 3: Cross multiply
    10,457.78x = 14,438.49 × 6,483.14
  4. Step 4: Simplify right side
    10,457.78x = 93,606,752.06
  5. Step 5: Solve for x
    x = 93,606,752.06/10,457.78
  6. Step 6: Final answer
    x = 8,950.92

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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.