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Finding the Fourth Proportional to 10,466.36, 14,433.65 and 6,875.00

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Solution

The fourth proportional to 10,466.36, 14,433.65 and 6,875.00 is: 9,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.36 : 14,433.65 = 6,875.00 : x
  2. Step 2: Convert to fraction form
    10,466.36/14,433.65 = 6,875.00/x
  3. Step 3: Cross multiply
    10,466.36x = 14,433.65 × 6,875.00
  4. Step 4: Simplify right side
    10,466.36x = 99,231,237.21
  5. Step 5: Solve for x
    x = 99,231,237.21/10,466.36
  6. Step 6: Final answer
    x = 9,480.97

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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.