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Finding the Fourth Proportional to 7,854.30, 10,838.04 and 4,498.02

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Solution

The fourth proportional to 7,854.30, 10,838.04 and 4,498.02 is: 6,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.30 : 10,838.04 = 4,498.02 : x
  2. Step 2: Convert to fraction form
    7,854.30/10,838.04 = 4,498.02/x
  3. Step 3: Cross multiply
    7,854.30x = 10,838.04 × 4,498.02
  4. Step 4: Simplify right side
    7,854.30x = 48,749,720.68
  5. Step 5: Solve for x
    x = 48,749,720.68/7,854.30
  6. Step 6: Final answer
    x = 6,206.76

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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.