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Finding the Fourth Proportional to 10,467.97, 14,430.86 and 7,482.71

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Solution

The fourth proportional to 10,467.97, 14,430.86 and 7,482.71 is: 10,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.97 : 14,430.86 = 7,482.71 : x
  2. Step 2: Convert to fraction form
    10,467.97/14,430.86 = 7,482.71/x
  3. Step 3: Cross multiply
    10,467.97x = 14,430.86 × 7,482.71
  4. Step 4: Simplify right side
    10,467.97x = 107,981,967.15
  5. Step 5: Solve for x
    x = 107,981,967.15/10,467.97
  6. Step 6: Final answer
    x = 10,315.47

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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.