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Finding the Fourth Proportional to 10,437.54, 14,408.73 and 6,461.25

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Solution

The fourth proportional to 10,437.54, 14,408.73 and 6,461.25 is: 8,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.54 : 14,408.73 = 6,461.25 : x
  2. Step 2: Convert to fraction form
    10,437.54/14,408.73 = 6,461.25/x
  3. Step 3: Cross multiply
    10,437.54x = 14,408.73 × 6,461.25
  4. Step 4: Simplify right side
    10,437.54x = 93,098,406.71
  5. Step 5: Solve for x
    x = 93,098,406.71/10,437.54
  6. Step 6: Final answer
    x = 8,919.57

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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.