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Finding the Fourth Proportional to 10,069.80, 13,895.28 and 5,880.48

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Solution

The fourth proportional to 10,069.80, 13,895.28 and 5,880.48 is: 8,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.80 : 13,895.28 = 5,880.48 : x
  2. Step 2: Convert to fraction form
    10,069.80/13,895.28 = 5,880.48/x
  3. Step 3: Cross multiply
    10,069.80x = 13,895.28 × 5,880.48
  4. Step 4: Simplify right side
    10,069.80x = 81,710,916.13
  5. Step 5: Solve for x
    x = 81,710,916.13/10,069.80
  6. Step 6: Final answer
    x = 8,114.45

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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.