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Finding the Fourth Proportional to 10,435.48, 14,401.02 and 5,655.45

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Solution

The fourth proportional to 10,435.48, 14,401.02 and 5,655.45 is: 7,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.48 : 14,401.02 = 5,655.45 : x
  2. Step 2: Convert to fraction form
    10,435.48/14,401.02 = 5,655.45/x
  3. Step 3: Cross multiply
    10,435.48x = 14,401.02 × 5,655.45
  4. Step 4: Simplify right side
    10,435.48x = 81,444,248.56
  5. Step 5: Solve for x
    x = 81,444,248.56/10,435.48
  6. Step 6: Final answer
    x = 7,804.55

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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.