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Finding the Fourth Proportional to 11,450.93, 15,804.38 and 7,472.00

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Solution

The fourth proportional to 11,450.93, 15,804.38 and 7,472.00 is: 10,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.93 : 15,804.38 = 7,472.00 : x
  2. Step 2: Convert to fraction form
    11,450.93/15,804.38 = 7,472.00/x
  3. Step 3: Cross multiply
    11,450.93x = 15,804.38 × 7,472.00
  4. Step 4: Simplify right side
    11,450.93x = 118,090,385.55
  5. Step 5: Solve for x
    x = 118,090,385.55/11,450.93
  6. Step 6: Final answer
    x = 10,312.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.