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Finding the Fourth Proportional to 13,095.46, 18,071.19 and 7,127.13

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Solution

The fourth proportional to 13,095.46, 18,071.19 and 7,127.13 is: 9,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095.46 : 18,071.19 = 7,127.13 : x
  2. Step 2: Convert to fraction form
    13,095.46/18,071.19 = 7,127.13/x
  3. Step 3: Cross multiply
    13,095.46x = 18,071.19 × 7,127.13
  4. Step 4: Simplify right side
    13,095.46x = 128,795,720.38
  5. Step 5: Solve for x
    x = 128,795,720.38/13,095.46
  6. Step 6: Final answer
    x = 9,835.14

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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.