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Finding the Fourth Proportional to 10,907.46, 15,051.87 and 6,431.40

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Solution

The fourth proportional to 10,907.46, 15,051.87 and 6,431.40 is: 8,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.46 : 15,051.87 = 6,431.40 : x
  2. Step 2: Convert to fraction form
    10,907.46/15,051.87 = 6,431.40/x
  3. Step 3: Cross multiply
    10,907.46x = 15,051.87 × 6,431.40
  4. Step 4: Simplify right side
    10,907.46x = 96,804,596.72
  5. Step 5: Solve for x
    x = 96,804,596.72/10,907.46
  6. Step 6: Final answer
    x = 8,875.08

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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.