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Finding the Fourth Proportional to 10,358.13, 14,296.07 and 6,108.93

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Solution

The fourth proportional to 10,358.13, 14,296.07 and 6,108.93 is: 8,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.13 : 14,296.07 = 6,108.93 : x
  2. Step 2: Convert to fraction form
    10,358.13/14,296.07 = 6,108.93/x
  3. Step 3: Cross multiply
    10,358.13x = 14,296.07 × 6,108.93
  4. Step 4: Simplify right side
    10,358.13x = 87,333,690.91
  5. Step 5: Solve for x
    x = 87,333,690.91/10,358.13
  6. Step 6: Final answer
    x = 8,431.41

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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.