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Finding the Fourth Proportional to 10,435.98, 14,401.71 and 5,655.93

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Solution

The fourth proportional to 10,435.98, 14,401.71 and 5,655.93 is: 7,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.98 : 14,401.71 = 5,655.93 : x
  2. Step 2: Convert to fraction form
    10,435.98/14,401.71 = 5,655.93/x
  3. Step 3: Cross multiply
    10,435.98x = 14,401.71 × 5,655.93
  4. Step 4: Simplify right side
    10,435.98x = 81,455,063.64
  5. Step 5: Solve for x
    x = 81,455,063.64/10,435.98
  6. Step 6: Final answer
    x = 7,805.21

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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.