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Finding the Fourth Proportional to 10,466.40, 14,456.40 and 7,825.50

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Solution

The fourth proportional to 10,466.40, 14,456.40 and 7,825.50 is: 10,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.40 : 14,456.40 = 7,825.50 : x
  2. Step 2: Convert to fraction form
    10,466.40/14,456.40 = 7,825.50/x
  3. Step 3: Cross multiply
    10,466.40x = 14,456.40 × 7,825.50
  4. Step 4: Simplify right side
    10,466.40x = 113,128,558.20
  5. Step 5: Solve for x
    x = 113,128,558.20/10,466.40
  6. Step 6: Final answer
    x = 10,808.74

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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.