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Finding the Fourth Proportional to 10,730.60, 16,101.58 and 5,258.60

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Solution

The fourth proportional to 10,730.60, 16,101.58 and 5,258.60 is: 7,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.60 : 16,101.58 = 5,258.60 : x
  2. Step 2: Convert to fraction form
    10,730.60/16,101.58 = 5,258.60/x
  3. Step 3: Cross multiply
    10,730.60x = 16,101.58 × 5,258.60
  4. Step 4: Simplify right side
    10,730.60x = 84,671,768.59
  5. Step 5: Solve for x
    x = 84,671,768.59/10,730.60
  6. Step 6: Final answer
    x = 7,890.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.