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Finding the Fourth Proportional to 10,275.70, 14,178.42 and 6,084.22

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Solution

The fourth proportional to 10,275.70, 14,178.42 and 6,084.22 is: 8,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.70 : 14,178.42 = 6,084.22 : x
  2. Step 2: Convert to fraction form
    10,275.70/14,178.42 = 6,084.22/x
  3. Step 3: Cross multiply
    10,275.70x = 14,178.42 × 6,084.22
  4. Step 4: Simplify right side
    10,275.70x = 86,264,626.53
  5. Step 5: Solve for x
    x = 86,264,626.53/10,275.70
  6. Step 6: Final answer
    x = 8,395.01

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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.