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Finding the Fourth Proportional to 10,395.42, 14,345.65 and 5,679.74

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Solution

The fourth proportional to 10,395.42, 14,345.65 and 5,679.74 is: 7,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.42 : 14,345.65 = 5,679.74 : x
  2. Step 2: Convert to fraction form
    10,395.42/14,345.65 = 5,679.74/x
  3. Step 3: Cross multiply
    10,395.42x = 14,345.65 × 5,679.74
  4. Step 4: Simplify right side
    10,395.42x = 81,479,562.13
  5. Step 5: Solve for x
    x = 81,479,562.13/10,395.42
  6. Step 6: Final answer
    x = 7,838.03

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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.