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Finding the Fourth Proportional to 10,356.17, 14,303.39 and 6,835.10

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Solution

The fourth proportional to 10,356.17, 14,303.39 and 6,835.10 is: 9,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.17 : 14,303.39 = 6,835.10 : x
  2. Step 2: Convert to fraction form
    10,356.17/14,303.39 = 6,835.10/x
  3. Step 3: Cross multiply
    10,356.17x = 14,303.39 × 6,835.10
  4. Step 4: Simplify right side
    10,356.17x = 97,764,995.30
  5. Step 5: Solve for x
    x = 97,764,995.30/10,356.17
  6. Step 6: Final answer
    x = 9,440.27

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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.