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Finding the Fourth Proportional to 10,813.11, 14,916.80 and 7,228.93

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Solution

The fourth proportional to 10,813.11, 14,916.80 and 7,228.93 is: 9,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.11 : 14,916.80 = 7,228.93 : x
  2. Step 2: Convert to fraction form
    10,813.11/14,916.80 = 7,228.93/x
  3. Step 3: Cross multiply
    10,813.11x = 14,916.80 × 7,228.93
  4. Step 4: Simplify right side
    10,813.11x = 107,832,503.02
  5. Step 5: Solve for x
    x = 107,832,503.02/10,813.11
  6. Step 6: Final answer
    x = 9,972.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.