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Finding the Fourth Proportional to 7,580.42, 11,328.36 and 7,159.22

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Solution

The fourth proportional to 7,580.42, 11,328.36 and 7,159.22 is: 10,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.42 : 11,328.36 = 7,159.22 : x
  2. Step 2: Convert to fraction form
    7,580.42/11,328.36 = 7,159.22/x
  3. Step 3: Cross multiply
    7,580.42x = 11,328.36 × 7,159.22
  4. Step 4: Simplify right side
    7,580.42x = 81,102,221.48
  5. Step 5: Solve for x
    x = 81,102,221.48/7,580.42
  6. Step 6: Final answer
    x = 10,698.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.