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Finding the Fourth Proportional to 10,258.47, 14,152.89 and 7,868.86

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Solution

The fourth proportional to 10,258.47, 14,152.89 and 7,868.86 is: 10,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.47 : 14,152.89 = 7,868.86 : x
  2. Step 2: Convert to fraction form
    10,258.47/14,152.89 = 7,868.86/x
  3. Step 3: Cross multiply
    10,258.47x = 14,152.89 × 7,868.86
  4. Step 4: Simplify right side
    10,258.47x = 111,367,110.01
  5. Step 5: Solve for x
    x = 111,367,110.01/10,258.47
  6. Step 6: Final answer
    x = 10,856.11

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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.