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Finding the Fourth Proportional to 7,869.42, 10,856 and 4,888.72

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Solution

The fourth proportional to 7,869.42, 10,856 and 4,888.72 is: 6,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.42 : 10,856 = 4,888.72 : x
  2. Step 2: Convert to fraction form
    7,869.42/10,856 = 4,888.72/x
  3. Step 3: Cross multiply
    7,869.42x = 10,856 × 4,888.72
  4. Step 4: Simplify right side
    7,869.42x = 53,071,944.32
  5. Step 5: Solve for x
    x = 53,071,944.32/7,869.42
  6. Step 6: Final answer
    x = 6,744.07

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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.