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Finding the Fourth Proportional to 7,572.75, 11,427.44 and 7,298.16

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Solution

The fourth proportional to 7,572.75, 11,427.44 and 7,298.16 is: 11,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.75 : 11,427.44 = 7,298.16 : x
  2. Step 2: Convert to fraction form
    7,572.75/11,427.44 = 7,298.16/x
  3. Step 3: Cross multiply
    7,572.75x = 11,427.44 × 7,298.16
  4. Step 4: Simplify right side
    7,572.75x = 83,399,285.51
  5. Step 5: Solve for x
    x = 83,399,285.51/7,572.75
  6. Step 6: Final answer
    x = 11,013.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.