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Finding the Fourth Proportional to 7,854.94, 10,840.08 and 4,498.84

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Solution

The fourth proportional to 7,854.94, 10,840.08 and 4,498.84 is: 6,208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.94 : 10,840.08 = 4,498.84 : x
  2. Step 2: Convert to fraction form
    7,854.94/10,840.08 = 4,498.84/x
  3. Step 3: Cross multiply
    7,854.94x = 10,840.08 × 4,498.84
  4. Step 4: Simplify right side
    7,854.94x = 48,767,785.51
  5. Step 5: Solve for x
    x = 48,767,785.51/7,854.94
  6. Step 6: Final answer
    x = 6,208.55

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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.