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Finding the Fourth Proportional to 10,426, 14,388.12 and 5,710.56

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Solution

The fourth proportional to 10,426, 14,388.12 and 5,710.56 is: 7,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426 : 14,388.12 = 5,710.56 : x
  2. Step 2: Convert to fraction form
    10,426/14,388.12 = 5,710.56/x
  3. Step 3: Cross multiply
    10,426x = 14,388.12 × 5,710.56
  4. Step 4: Simplify right side
    10,426x = 82,164,222.55
  5. Step 5: Solve for x
    x = 82,164,222.55/10,426
  6. Step 6: Final answer
    x = 7,880.70

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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.