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Finding the Fourth Proportional to 10,290.51, 14,200.95 and 5,574.78

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Solution

The fourth proportional to 10,290.51, 14,200.95 and 5,574.78 is: 7,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.51 : 14,200.95 = 5,574.78 : x
  2. Step 2: Convert to fraction form
    10,290.51/14,200.95 = 5,574.78/x
  3. Step 3: Cross multiply
    10,290.51x = 14,200.95 × 5,574.78
  4. Step 4: Simplify right side
    10,290.51x = 79,167,172.04
  5. Step 5: Solve for x
    x = 79,167,172.04/10,290.51
  6. Step 6: Final answer
    x = 7,693.22

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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.