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Finding the Fourth Proportional to 15,056.58, 22,605.55 and 7,666

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Solution

The fourth proportional to 15,056.58, 22,605.55 and 7,666 is: 11,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,056.58 : 22,605.55 = 7,666 : x
  2. Step 2: Convert to fraction form
    15,056.58/22,605.55 = 7,666/x
  3. Step 3: Cross multiply
    15,056.58x = 22,605.55 × 7,666
  4. Step 4: Simplify right side
    15,056.58x = 173,294,146.30
  5. Step 5: Solve for x
    x = 173,294,146.30/15,056.58
  6. Step 6: Final answer
    x = 11,509.53

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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.