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Finding the Fourth Proportional to 10,415.61, 14,373.74 and 5,699.99

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Solution

The fourth proportional to 10,415.61, 14,373.74 and 5,699.99 is: 7,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.61 : 14,373.74 = 5,699.99 : x
  2. Step 2: Convert to fraction form
    10,415.61/14,373.74 = 5,699.99/x
  3. Step 3: Cross multiply
    10,415.61x = 14,373.74 × 5,699.99
  4. Step 4: Simplify right side
    10,415.61x = 81,930,224.45
  5. Step 5: Solve for x
    x = 81,930,224.45/10,415.61
  6. Step 6: Final answer
    x = 7,866.10

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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.