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Finding the Fourth Proportional to 10,393.17, 14,342.03 and 5,916.91

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Solution

The fourth proportional to 10,393.17, 14,342.03 and 5,916.91 is: 8,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.17 : 14,342.03 = 5,916.91 : x
  2. Step 2: Convert to fraction form
    10,393.17/14,342.03 = 5,916.91/x
  3. Step 3: Cross multiply
    10,393.17x = 14,342.03 × 5,916.91
  4. Step 4: Simplify right side
    10,393.17x = 84,860,429.02
  5. Step 5: Solve for x
    x = 84,860,429.02/10,393.17
  6. Step 6: Final answer
    x = 8,165.02

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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.