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Finding the Fourth Proportional to 13,095.64, 18,072.03 and 7,127.38

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Solution

The fourth proportional to 13,095.64, 18,072.03 and 7,127.38 is: 9,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095.64 : 18,072.03 = 7,127.38 : x
  2. Step 2: Convert to fraction form
    13,095.64/18,072.03 = 7,127.38/x
  3. Step 3: Cross multiply
    13,095.64x = 18,072.03 × 7,127.38
  4. Step 4: Simplify right side
    13,095.64x = 128,806,225.18
  5. Step 5: Solve for x
    x = 128,806,225.18/13,095.64
  6. Step 6: Final answer
    x = 9,835.81

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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.