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Finding the Fourth Proportional to 7,871.40, 10,862.28 and 4,334.58

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Solution

The fourth proportional to 7,871.40, 10,862.28 and 4,334.58 is: 5,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.40 : 10,862.28 = 4,334.58 : x
  2. Step 2: Convert to fraction form
    7,871.40/10,862.28 = 4,334.58/x
  3. Step 3: Cross multiply
    7,871.40x = 10,862.28 × 4,334.58
  4. Step 4: Simplify right side
    7,871.40x = 47,083,421.64
  5. Step 5: Solve for x
    x = 47,083,421.64/7,871.40
  6. Step 6: Final answer
    x = 5,981.58

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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.