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Finding the Fourth Proportional to 10,407.63, 14,348.97 and 7,575.47

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Solution

The fourth proportional to 10,407.63, 14,348.97 and 7,575.47 is: 10,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.63 : 14,348.97 = 7,575.47 : x
  2. Step 2: Convert to fraction form
    10,407.63/14,348.97 = 7,575.47/x
  3. Step 3: Cross multiply
    10,407.63x = 14,348.97 × 7,575.47
  4. Step 4: Simplify right side
    10,407.63x = 108,700,120.02
  5. Step 5: Solve for x
    x = 108,700,120.02/10,407.63
  6. Step 6: Final answer
    x = 10,444.27

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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.