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Finding the Fourth Proportional to 10,300.38, 14,215.95 and 7,643.58

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Solution

The fourth proportional to 10,300.38, 14,215.95 and 7,643.58 is: 10,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.38 : 14,215.95 = 7,643.58 : x
  2. Step 2: Convert to fraction form
    10,300.38/14,215.95 = 7,643.58/x
  3. Step 3: Cross multiply
    10,300.38x = 14,215.95 × 7,643.58
  4. Step 4: Simplify right side
    10,300.38x = 108,660,751.10
  5. Step 5: Solve for x
    x = 108,660,751.10/10,300.38
  6. Step 6: Final answer
    x = 10,549.20

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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.