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Finding the Fourth Proportional to 11,916.98, 17,872.45 and 4,898.93

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Solution

The fourth proportional to 11,916.98, 17,872.45 and 4,898.93 is: 7,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.98 : 17,872.45 = 4,898.93 : x
  2. Step 2: Convert to fraction form
    11,916.98/17,872.45 = 4,898.93/x
  3. Step 3: Cross multiply
    11,916.98x = 17,872.45 × 4,898.93
  4. Step 4: Simplify right side
    11,916.98x = 87,555,894.18
  5. Step 5: Solve for x
    x = 87,555,894.18/11,916.98
  6. Step 6: Final answer
    x = 7,347.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.