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Finding the Fourth Proportional to 11,176.83, 15,423.89 and 6,461.01

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Solution

The fourth proportional to 11,176.83, 15,423.89 and 6,461.01 is: 8,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.83 : 15,423.89 = 6,461.01 : x
  2. Step 2: Convert to fraction form
    11,176.83/15,423.89 = 6,461.01/x
  3. Step 3: Cross multiply
    11,176.83x = 15,423.89 × 6,461.01
  4. Step 4: Simplify right side
    11,176.83x = 99,653,875.22
  5. Step 5: Solve for x
    x = 99,653,875.22/11,176.83
  6. Step 6: Final answer
    x = 8,916.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.