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Finding the Fourth Proportional to 10,699.32, 16,048.77 and 2,907.93

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Solution

The fourth proportional to 10,699.32, 16,048.77 and 2,907.93 is: 4,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.32 : 16,048.77 = 2,907.93 : x
  2. Step 2: Convert to fraction form
    10,699.32/16,048.77 = 2,907.93/x
  3. Step 3: Cross multiply
    10,699.32x = 16,048.77 × 2,907.93
  4. Step 4: Simplify right side
    10,699.32x = 46,668,699.75
  5. Step 5: Solve for x
    x = 46,668,699.75/10,699.32
  6. Step 6: Final answer
    x = 4,361.84

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