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Finding the Fourth Proportional to 10,210.95, 14,087.72 and 5,734.08

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Solution

The fourth proportional to 10,210.95, 14,087.72 and 5,734.08 is: 7,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.95 : 14,087.72 = 5,734.08 : x
  2. Step 2: Convert to fraction form
    10,210.95/14,087.72 = 5,734.08/x
  3. Step 3: Cross multiply
    10,210.95x = 14,087.72 × 5,734.08
  4. Step 4: Simplify right side
    10,210.95x = 80,780,127.83
  5. Step 5: Solve for x
    x = 80,780,127.83/10,210.95
  6. Step 6: Final answer
    x = 7,911.13

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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.