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Finding the Fourth Proportional to 10,290.32, 14,200.74 and 5,574.70

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Solution

The fourth proportional to 10,290.32, 14,200.74 and 5,574.70 is: 7,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.32 : 14,200.74 = 5,574.70 : x
  2. Step 2: Convert to fraction form
    10,290.32/14,200.74 = 5,574.70/x
  3. Step 3: Cross multiply
    10,290.32x = 14,200.74 × 5,574.70
  4. Step 4: Simplify right side
    10,290.32x = 79,164,766.40
  5. Step 5: Solve for x
    x = 79,164,766.40/10,290.32
  6. Step 6: Final answer
    x = 7,693.13

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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.