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Finding the Fourth Proportional to 10,605.30, 14,604.21 and 9,718.26

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Solution

The fourth proportional to 10,605.30, 14,604.21 and 9,718.26 is: 13,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.30 : 14,604.21 = 9,718.26 : x
  2. Step 2: Convert to fraction form
    10,605.30/14,604.21 = 9,718.26/x
  3. Step 3: Cross multiply
    10,605.30x = 14,604.21 × 9,718.26
  4. Step 4: Simplify right side
    10,605.30x = 141,927,509.87
  5. Step 5: Solve for x
    x = 141,927,509.87/10,605.30
  6. Step 6: Final answer
    x = 13,382.70

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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.