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Finding the Fourth Proportional to 10,907.64, 16,365.51 and 5,709.87

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Solution

The fourth proportional to 10,907.64, 16,365.51 and 5,709.87 is: 8,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.64 : 16,365.51 = 5,709.87 : x
  2. Step 2: Convert to fraction form
    10,907.64/16,365.51 = 5,709.87/x
  3. Step 3: Cross multiply
    10,907.64x = 16,365.51 × 5,709.87
  4. Step 4: Simplify right side
    10,907.64x = 93,444,934.58
  5. Step 5: Solve for x
    x = 93,444,934.58/10,907.64
  6. Step 6: Final answer
    x = 8,566.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.