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Finding the Fourth Proportional to 11,616.34, 16,030.96 and 6,580.70

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Solution

The fourth proportional to 11,616.34, 16,030.96 and 6,580.70 is: 9,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.34 : 16,030.96 = 6,580.70 : x
  2. Step 2: Convert to fraction form
    11,616.34/16,030.96 = 6,580.70/x
  3. Step 3: Cross multiply
    11,616.34x = 16,030.96 × 6,580.70
  4. Step 4: Simplify right side
    11,616.34x = 105,494,938.47
  5. Step 5: Solve for x
    x = 105,494,938.47/11,616.34
  6. Step 6: Final answer
    x = 9,081.60

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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.