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Finding the Fourth Proportional to 10,347.89, 14,280.02 and 5,632.18

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Solution

The fourth proportional to 10,347.89, 14,280.02 and 5,632.18 is: 7,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.89 : 14,280.02 = 5,632.18 : x
  2. Step 2: Convert to fraction form
    10,347.89/14,280.02 = 5,632.18/x
  3. Step 3: Cross multiply
    10,347.89x = 14,280.02 × 5,632.18
  4. Step 4: Simplify right side
    10,347.89x = 80,427,579.18
  5. Step 5: Solve for x
    x = 80,427,579.18/10,347.89
  6. Step 6: Final answer
    x = 7,772.36

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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.