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Finding the Fourth Proportional to 7,870.58, 10,857.66 and 4,885.46

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Solution

The fourth proportional to 7,870.58, 10,857.66 and 4,885.46 is: 6,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.58 : 10,857.66 = 4,885.46 : x
  2. Step 2: Convert to fraction form
    7,870.58/10,857.66 = 4,885.46/x
  3. Step 3: Cross multiply
    7,870.58x = 10,857.66 × 4,885.46
  4. Step 4: Simplify right side
    7,870.58x = 53,044,663.62
  5. Step 5: Solve for x
    x = 53,044,663.62/7,870.58
  6. Step 6: Final answer
    x = 6,739.61

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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.