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Finding the Fourth Proportional to 11,069.60, 15,269.06 and 6,590

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Solution

The fourth proportional to 11,069.60, 15,269.06 and 6,590 is: 9,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069.60 : 15,269.06 = 6,590 : x
  2. Step 2: Convert to fraction form
    11,069.60/15,269.06 = 6,590/x
  3. Step 3: Cross multiply
    11,069.60x = 15,269.06 × 6,590
  4. Step 4: Simplify right side
    11,069.60x = 100,623,105.40
  5. Step 5: Solve for x
    x = 100,623,105.40/11,069.60
  6. Step 6: Final answer
    x = 9,090.04

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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.