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Finding the Fourth Proportional to 10,348.59, 14,281.03 and 5,632.86

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Solution

The fourth proportional to 10,348.59, 14,281.03 and 5,632.86 is: 7,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.59 : 14,281.03 = 5,632.86 : x
  2. Step 2: Convert to fraction form
    10,348.59/14,281.03 = 5,632.86/x
  3. Step 3: Cross multiply
    10,348.59x = 14,281.03 × 5,632.86
  4. Step 4: Simplify right side
    10,348.59x = 80,442,943.08
  5. Step 5: Solve for x
    x = 80,442,943.08/10,348.59
  6. Step 6: Final answer
    x = 7,773.33

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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.