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Finding the Fourth Proportional to 10,367.16, 14,307.06 and 5,891.67

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Solution

The fourth proportional to 10,367.16, 14,307.06 and 5,891.67 is: 8,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.16 : 14,307.06 = 5,891.67 : x
  2. Step 2: Convert to fraction form
    10,367.16/14,307.06 = 5,891.67/x
  3. Step 3: Cross multiply
    10,367.16x = 14,307.06 × 5,891.67
  4. Step 4: Simplify right side
    10,367.16x = 84,292,476.19
  5. Step 5: Solve for x
    x = 84,292,476.19/10,367.16
  6. Step 6: Final answer
    x = 8,130.72

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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.