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Finding the Fourth Proportional to 10,417.52, 14,370.82 and 7,059.20

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Solution

The fourth proportional to 10,417.52, 14,370.82 and 7,059.20 is: 9,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.52 : 14,370.82 = 7,059.20 : x
  2. Step 2: Convert to fraction form
    10,417.52/14,370.82 = 7,059.20/x
  3. Step 3: Cross multiply
    10,417.52x = 14,370.82 × 7,059.20
  4. Step 4: Simplify right side
    10,417.52x = 101,446,403.04
  5. Step 5: Solve for x
    x = 101,446,403.04/10,417.52
  6. Step 6: Final answer
    x = 9,738.05

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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.