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Finding the Fourth Proportional to 7,854.84, 10,840.32 and 4,498.74

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Solution

The fourth proportional to 7,854.84, 10,840.32 and 4,498.74 is: 6,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.84 : 10,840.32 = 4,498.74 : x
  2. Step 2: Convert to fraction form
    7,854.84/10,840.32 = 4,498.74/x
  3. Step 3: Cross multiply
    7,854.84x = 10,840.32 × 4,498.74
  4. Step 4: Simplify right side
    7,854.84x = 48,767,781.20
  5. Step 5: Solve for x
    x = 48,767,781.20/7,854.84
  6. Step 6: Final answer
    x = 6,208.63

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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.