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Finding the Fourth Proportional to 10,435.99, 14,420.77 and 7,598.44

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Solution

The fourth proportional to 10,435.99, 14,420.77 and 7,598.44 is: 10,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.99 : 14,420.77 = 7,598.44 : x
  2. Step 2: Convert to fraction form
    10,435.99/14,420.77 = 7,598.44/x
  3. Step 3: Cross multiply
    10,435.99x = 14,420.77 × 7,598.44
  4. Step 4: Simplify right side
    10,435.99x = 109,575,317.61
  5. Step 5: Solve for x
    x = 109,575,317.61/10,435.99
  6. Step 6: Final answer
    x = 10,499.75

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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.