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Finding the Fourth Proportional to 10,078.65, 13,907.91 and 5,602.25

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Solution

The fourth proportional to 10,078.65, 13,907.91 and 5,602.25 is: 7,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.65 : 13,907.91 = 5,602.25 : x
  2. Step 2: Convert to fraction form
    10,078.65/13,907.91 = 5,602.25/x
  3. Step 3: Cross multiply
    10,078.65x = 13,907.91 × 5,602.25
  4. Step 4: Simplify right side
    10,078.65x = 77,915,588.80
  5. Step 5: Solve for x
    x = 77,915,588.80/10,078.65
  6. Step 6: Final answer
    x = 7,730.76

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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.