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Finding the Fourth Proportional to 10,290.64, 14,201.04 and 5,574.80

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Solution

The fourth proportional to 10,290.64, 14,201.04 and 5,574.80 is: 7,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.64 : 14,201.04 = 5,574.80 : x
  2. Step 2: Convert to fraction form
    10,290.64/14,201.04 = 5,574.80/x
  3. Step 3: Cross multiply
    10,290.64x = 14,201.04 × 5,574.80
  4. Step 4: Simplify right side
    10,290.64x = 79,167,957.79
  5. Step 5: Solve for x
    x = 79,167,957.79/10,290.64
  6. Step 6: Final answer
    x = 7,693.20

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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.