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Finding the Fourth Proportional to 10,438.12, 14,404.62 and 5,722.50

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Solution

The fourth proportional to 10,438.12, 14,404.62 and 5,722.50 is: 7,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.12 : 14,404.62 = 5,722.50 : x
  2. Step 2: Convert to fraction form
    10,438.12/14,404.62 = 5,722.50/x
  3. Step 3: Cross multiply
    10,438.12x = 14,404.62 × 5,722.50
  4. Step 4: Simplify right side
    10,438.12x = 82,430,437.95
  5. Step 5: Solve for x
    x = 82,430,437.95/10,438.12
  6. Step 6: Final answer
    x = 7,897.06

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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.