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Finding the Fourth Proportional to 10,867.66, 16,307.55 and 5,869.93

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Solution

The fourth proportional to 10,867.66, 16,307.55 and 5,869.93 is: 8,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.66 : 16,307.55 = 5,869.93 : x
  2. Step 2: Convert to fraction form
    10,867.66/16,307.55 = 5,869.93/x
  3. Step 3: Cross multiply
    10,867.66x = 16,307.55 × 5,869.93
  4. Step 4: Simplify right side
    10,867.66x = 95,724,196.14
  5. Step 5: Solve for x
    x = 95,724,196.14/10,867.66
  6. Step 6: Final answer
    x = 8,808.17

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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.