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Finding the Fourth Proportional to 10,807.62, 14,916.06 and 7,833.30

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Solution

The fourth proportional to 10,807.62, 14,916.06 and 7,833.30 is: 10,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.62 : 14,916.06 = 7,833.30 : x
  2. Step 2: Convert to fraction form
    10,807.62/14,916.06 = 7,833.30/x
  3. Step 3: Cross multiply
    10,807.62x = 14,916.06 × 7,833.30
  4. Step 4: Simplify right side
    10,807.62x = 116,841,972.80
  5. Step 5: Solve for x
    x = 116,841,972.80/10,807.62
  6. Step 6: Final answer
    x = 10,811.07

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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.