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Finding the Fourth Proportional to 10,854.41, 14,970.63 and 7,268.24

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Solution

The fourth proportional to 10,854.41, 14,970.63 and 7,268.24 is: 10,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.41 : 14,970.63 = 7,268.24 : x
  2. Step 2: Convert to fraction form
    10,854.41/14,970.63 = 7,268.24/x
  3. Step 3: Cross multiply
    10,854.41x = 14,970.63 × 7,268.24
  4. Step 4: Simplify right side
    10,854.41x = 108,810,056.94
  5. Step 5: Solve for x
    x = 108,810,056.94/10,854.41
  6. Step 6: Final answer
    x = 10,024.51

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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.