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Finding the Fourth Proportional to 10,907.47, 15,051.78 and 6,126.83

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Solution

The fourth proportional to 10,907.47, 15,051.78 and 6,126.83 is: 8,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.47 : 15,051.78 = 6,126.83 : x
  2. Step 2: Convert to fraction form
    10,907.47/15,051.78 = 6,126.83/x
  3. Step 3: Cross multiply
    10,907.47x = 15,051.78 × 6,126.83
  4. Step 4: Simplify right side
    10,907.47x = 92,219,697.26
  5. Step 5: Solve for x
    x = 92,219,697.26/10,907.47
  6. Step 6: Final answer
    x = 8,454.73

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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.