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Finding the Fourth Proportional to 7,870.70, 10,858.86 and 4,842.72

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Solution

The fourth proportional to 7,870.70, 10,858.86 and 4,842.72 is: 6,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.70 : 10,858.86 = 4,842.72 : x
  2. Step 2: Convert to fraction form
    7,870.70/10,858.86 = 4,842.72/x
  3. Step 3: Cross multiply
    7,870.70x = 10,858.86 × 4,842.72
  4. Step 4: Simplify right side
    7,870.70x = 52,586,418.50
  5. Step 5: Solve for x
    x = 52,586,418.50/7,870.70
  6. Step 6: Final answer
    x = 6,681.29

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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.