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Finding the Fourth Proportional to 10,855.83, 16,258.23 and 5,291.74

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Solution

The fourth proportional to 10,855.83, 16,258.23 and 5,291.74 is: 7,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.83 : 16,258.23 = 5,291.74 : x
  2. Step 2: Convert to fraction form
    10,855.83/16,258.23 = 5,291.74/x
  3. Step 3: Cross multiply
    10,855.83x = 16,258.23 × 5,291.74
  4. Step 4: Simplify right side
    10,855.83x = 86,034,346.34
  5. Step 5: Solve for x
    x = 86,034,346.34/10,855.83
  6. Step 6: Final answer
    x = 7,925.17

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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.