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Finding the Fourth Proportional to 10,401.60, 14,339.82 and 7,039.08

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Solution

The fourth proportional to 10,401.60, 14,339.82 and 7,039.08 is: 9,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.60 : 14,339.82 = 7,039.08 : x
  2. Step 2: Convert to fraction form
    10,401.60/14,339.82 = 7,039.08/x
  3. Step 3: Cross multiply
    10,401.60x = 14,339.82 × 7,039.08
  4. Step 4: Simplify right side
    10,401.60x = 100,939,140.17
  5. Step 5: Solve for x
    x = 100,939,140.17/10,401.60
  6. Step 6: Final answer
    x = 9,704.19

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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.