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Finding the Fourth Proportional to 7,854.72, 10,840.14 and 4,498.59

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Solution

The fourth proportional to 7,854.72, 10,840.14 and 4,498.59 is: 6,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.72 : 10,840.14 = 4,498.59 : x
  2. Step 2: Convert to fraction form
    7,854.72/10,840.14 = 4,498.59/x
  3. Step 3: Cross multiply
    7,854.72x = 10,840.14 × 4,498.59
  4. Step 4: Simplify right side
    7,854.72x = 48,765,345.40
  5. Step 5: Solve for x
    x = 48,765,345.40/7,854.72
  6. Step 6: Final answer
    x = 6,208.41

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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.