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Finding the Fourth Proportional to 7,886.76, 10,883.22 and 4,744.68

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Solution

The fourth proportional to 7,886.76, 10,883.22 and 4,744.68 is: 6,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.76 : 10,883.22 = 4,744.68 : x
  2. Step 2: Convert to fraction form
    7,886.76/10,883.22 = 4,744.68/x
  3. Step 3: Cross multiply
    7,886.76x = 10,883.22 × 4,744.68
  4. Step 4: Simplify right side
    7,886.76x = 51,637,396.27
  5. Step 5: Solve for x
    x = 51,637,396.27/7,886.76
  6. Step 6: Final answer
    x = 6,547.35

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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.