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Finding the Fourth Proportional to 7,564.04, 11,295.06 and 6,180.11

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Solution

The fourth proportional to 7,564.04, 11,295.06 and 6,180.11 is: 9,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.04 : 11,295.06 = 6,180.11 : x
  2. Step 2: Convert to fraction form
    7,564.04/11,295.06 = 6,180.11/x
  3. Step 3: Cross multiply
    7,564.04x = 11,295.06 × 6,180.11
  4. Step 4: Simplify right side
    7,564.04x = 69,804,656.78
  5. Step 5: Solve for x
    x = 69,804,656.78/7,564.04
  6. Step 6: Final answer
    x = 9,228.49

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Why These Related Problems?

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