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Finding the Fourth Proportional to 10,454.51, 14,433.73 and 7,266.80

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Solution

The fourth proportional to 10,454.51, 14,433.73 and 7,266.80 is: 10,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.51 : 14,433.73 = 7,266.80 : x
  2. Step 2: Convert to fraction form
    10,454.51/14,433.73 = 7,266.80/x
  3. Step 3: Cross multiply
    10,454.51x = 14,433.73 × 7,266.80
  4. Step 4: Simplify right side
    10,454.51x = 104,886,956.75
  5. Step 5: Solve for x
    x = 104,886,956.75/10,454.51
  6. Step 6: Final answer
    x = 10,032.70

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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.