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Finding the Fourth Proportional to 10,077.79, 13,907.81 and 5,601.98

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Solution

The fourth proportional to 10,077.79, 13,907.81 and 5,601.98 is: 7,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.79 : 13,907.81 = 5,601.98 : x
  2. Step 2: Convert to fraction form
    10,077.79/13,907.81 = 5,601.98/x
  3. Step 3: Cross multiply
    10,077.79x = 13,907.81 × 5,601.98
  4. Step 4: Simplify right side
    10,077.79x = 77,911,273.46
  5. Step 5: Solve for x
    x = 77,911,273.46/10,077.79
  6. Step 6: Final answer
    x = 7,730.99

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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.