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Finding the Fourth Proportional to 10,345.88, 14,277.82 and 6,098.20

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Solution

The fourth proportional to 10,345.88, 14,277.82 and 6,098.20 is: 8,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345.88 : 14,277.82 = 6,098.20 : x
  2. Step 2: Convert to fraction form
    10,345.88/14,277.82 = 6,098.20/x
  3. Step 3: Cross multiply
    10,345.88x = 14,277.82 × 6,098.20
  4. Step 4: Simplify right side
    10,345.88x = 87,069,001.92
  5. Step 5: Solve for x
    x = 87,069,001.92/10,345.88
  6. Step 6: Final answer
    x = 8,415.81

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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.