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Finding the Fourth Proportional to 10,371.63, 14,312.48 and 6,064.41

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Solution

The fourth proportional to 10,371.63, 14,312.48 and 6,064.41 is: 8,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.63 : 14,312.48 = 6,064.41 : x
  2. Step 2: Convert to fraction form
    10,371.63/14,312.48 = 6,064.41/x
  3. Step 3: Cross multiply
    10,371.63x = 14,312.48 × 6,064.41
  4. Step 4: Simplify right side
    10,371.63x = 86,796,716.51
  5. Step 5: Solve for x
    x = 86,796,716.51/10,371.63
  6. Step 6: Final answer
    x = 8,368.67

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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.