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Finding the Fourth Proportional to 10,145.04, 14,018.04 and 7,807.38

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Solution

The fourth proportional to 10,145.04, 14,018.04 and 7,807.38 is: 10,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.04 : 14,018.04 = 7,807.38 : x
  2. Step 2: Convert to fraction form
    10,145.04/14,018.04 = 7,807.38/x
  3. Step 3: Cross multiply
    10,145.04x = 14,018.04 × 7,807.38
  4. Step 4: Simplify right side
    10,145.04x = 109,444,165.14
  5. Step 5: Solve for x
    x = 109,444,165.14/10,145.04
  6. Step 6: Final answer
    x = 10,787.95

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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.