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Finding the Fourth Proportional to 10,442.50, 14,408.88 and 6,903.82

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Solution

The fourth proportional to 10,442.50, 14,408.88 and 6,903.82 is: 9,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.50 : 14,408.88 = 6,903.82 : x
  2. Step 2: Convert to fraction form
    10,442.50/14,408.88 = 6,903.82/x
  3. Step 3: Cross multiply
    10,442.50x = 14,408.88 × 6,903.82
  4. Step 4: Simplify right side
    10,442.50x = 99,476,313.92
  5. Step 5: Solve for x
    x = 99,476,313.92/10,442.50
  6. Step 6: Final answer
    x = 9,526.10

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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.