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Finding the Fourth Proportional to 10,503.63, 14,495.34 and 6,028.29

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Solution

The fourth proportional to 10,503.63, 14,495.34 and 6,028.29 is: 8,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.63 : 14,495.34 = 6,028.29 : x
  2. Step 2: Convert to fraction form
    10,503.63/14,495.34 = 6,028.29/x
  3. Step 3: Cross multiply
    10,503.63x = 14,495.34 × 6,028.29
  4. Step 4: Simplify right side
    10,503.63x = 87,382,113.17
  5. Step 5: Solve for x
    x = 87,382,113.17/10,503.63
  6. Step 6: Final answer
    x = 8,319.23

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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.