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Finding the Fourth Proportional to 7,403.40, 10,206.06 and 4,568.88

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Solution

The fourth proportional to 7,403.40, 10,206.06 and 4,568.88 is: 6,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.40 : 10,206.06 = 4,568.88 : x
  2. Step 2: Convert to fraction form
    7,403.40/10,206.06 = 4,568.88/x
  3. Step 3: Cross multiply
    7,403.40x = 10,206.06 × 4,568.88
  4. Step 4: Simplify right side
    7,403.40x = 46,630,263.41
  5. Step 5: Solve for x
    x = 46,630,263.41/7,403.40
  6. Step 6: Final answer
    x = 6,298.49

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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.