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Finding the Fourth Proportional to 10,499.62, 14,493.93 and 7,510.26

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Solution

The fourth proportional to 10,499.62, 14,493.93 and 7,510.26 is: 10,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.62 : 14,493.93 = 7,510.26 : x
  2. Step 2: Convert to fraction form
    10,499.62/14,493.93 = 7,510.26/x
  3. Step 3: Cross multiply
    10,499.62x = 14,493.93 × 7,510.26
  4. Step 4: Simplify right side
    10,499.62x = 108,853,182.72
  5. Step 5: Solve for x
    x = 108,853,182.72/10,499.62
  6. Step 6: Final answer
    x = 10,367.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.