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Finding the Fourth Proportional to 10,454.61, 14,407.45 and 10,262.46

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Solution

The fourth proportional to 10,454.61, 14,407.45 and 10,262.46 is: 14,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.61 : 14,407.45 = 10,262.46 : x
  2. Step 2: Convert to fraction form
    10,454.61/14,407.45 = 10,262.46/x
  3. Step 3: Cross multiply
    10,454.61x = 14,407.45 × 10,262.46
  4. Step 4: Simplify right side
    10,454.61x = 147,855,799.64
  5. Step 5: Solve for x
    x = 147,855,799.64/10,454.61
  6. Step 6: Final answer
    x = 14,142.64

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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.