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Finding the Fourth Proportional to 11,285.55, 15,574.59 and 6,506.19

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Solution

The fourth proportional to 11,285.55, 15,574.59 and 6,506.19 is: 8,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.55 : 15,574.59 = 6,506.19 : x
  2. Step 2: Convert to fraction form
    11,285.55/15,574.59 = 6,506.19/x
  3. Step 3: Cross multiply
    11,285.55x = 15,574.59 × 6,506.19
  4. Step 4: Simplify right side
    11,285.55x = 101,331,241.71
  5. Step 5: Solve for x
    x = 101,331,241.71/11,285.55
  6. Step 6: Final answer
    x = 8,978.85

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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.