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Finding the Fourth Proportional to 10,348.16, 14,280.05 and 5,632.45

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Solution

The fourth proportional to 10,348.16, 14,280.05 and 5,632.45 is: 7,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.16 : 14,280.05 = 5,632.45 : x
  2. Step 2: Convert to fraction form
    10,348.16/14,280.05 = 5,632.45/x
  3. Step 3: Cross multiply
    10,348.16x = 14,280.05 × 5,632.45
  4. Step 4: Simplify right side
    10,348.16x = 80,431,646.00
  5. Step 5: Solve for x
    x = 80,431,646.00/10,348.16
  6. Step 6: Final answer
    x = 7,772.55

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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.