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Finding the Fourth Proportional to 10,328.86, 14,253.53 and 5,854.06

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Solution

The fourth proportional to 10,328.86, 14,253.53 and 5,854.06 is: 8,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.86 : 14,253.53 = 5,854.06 : x
  2. Step 2: Convert to fraction form
    10,328.86/14,253.53 = 5,854.06/x
  3. Step 3: Cross multiply
    10,328.86x = 14,253.53 × 5,854.06
  4. Step 4: Simplify right side
    10,328.86x = 83,440,944.67
  5. Step 5: Solve for x
    x = 83,440,944.67/10,328.86
  6. Step 6: Final answer
    x = 8,078.43

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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.