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Finding the Fourth Proportional to 10,437.07, 14,404.07 and 5,722.25

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Solution

The fourth proportional to 10,437.07, 14,404.07 and 5,722.25 is: 7,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.07 : 14,404.07 = 5,722.25 : x
  2. Step 2: Convert to fraction form
    10,437.07/14,404.07 = 5,722.25/x
  3. Step 3: Cross multiply
    10,437.07x = 14,404.07 × 5,722.25
  4. Step 4: Simplify right side
    10,437.07x = 82,423,660.95
  5. Step 5: Solve for x
    x = 82,423,660.95/10,437.07
  6. Step 6: Final answer
    x = 7,897.20

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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.