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Finding the Fourth Proportional to 10,454.68, 14,427.40 and 5,674.72

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Solution

The fourth proportional to 10,454.68, 14,427.40 and 5,674.72 is: 7,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.68 : 14,427.40 = 5,674.72 : x
  2. Step 2: Convert to fraction form
    10,454.68/14,427.40 = 5,674.72/x
  3. Step 3: Cross multiply
    10,454.68x = 14,427.40 × 5,674.72
  4. Step 4: Simplify right side
    10,454.68x = 81,871,442.76
  5. Step 5: Solve for x
    x = 81,871,442.76/10,454.68
  6. Step 6: Final answer
    x = 7,831.08

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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.