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Finding the Fourth Proportional to 10,348.40, 14,280.06 and 5,632.58

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Solution

The fourth proportional to 10,348.40, 14,280.06 and 5,632.58 is: 7,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.40 : 14,280.06 = 5,632.58 : x
  2. Step 2: Convert to fraction form
    10,348.40/14,280.06 = 5,632.58/x
  3. Step 3: Cross multiply
    10,348.40x = 14,280.06 × 5,632.58
  4. Step 4: Simplify right side
    10,348.40x = 80,433,580.35
  5. Step 5: Solve for x
    x = 80,433,580.35/10,348.40
  6. Step 6: Final answer
    x = 7,772.56

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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.