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Finding the Fourth Proportional to 10,330.13, 14,254.74 and 5,854.56

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Solution

The fourth proportional to 10,330.13, 14,254.74 and 5,854.56 is: 8,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.13 : 14,254.74 = 5,854.56 : x
  2. Step 2: Convert to fraction form
    10,330.13/14,254.74 = 5,854.56/x
  3. Step 3: Cross multiply
    10,330.13x = 14,254.74 × 5,854.56
  4. Step 4: Simplify right side
    10,330.13x = 83,455,230.61
  5. Step 5: Solve for x
    x = 83,455,230.61/10,330.13
  6. Step 6: Final answer
    x = 8,078.82

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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.