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Finding the Fourth Proportional to 10,885.70, 15,023.79 and 7,870.61

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Solution

The fourth proportional to 10,885.70, 15,023.79 and 7,870.61 is: 10,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.70 : 15,023.79 = 7,870.61 : x
  2. Step 2: Convert to fraction form
    10,885.70/15,023.79 = 7,870.61/x
  3. Step 3: Cross multiply
    10,885.70x = 15,023.79 × 7,870.61
  4. Step 4: Simplify right side
    10,885.70x = 118,246,391.81
  5. Step 5: Solve for x
    x = 118,246,391.81/10,885.70
  6. Step 6: Final answer
    x = 10,862.54

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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.