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Finding the Fourth Proportional to 10,559.84, 14,572.48 and 5,844

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Solution

The fourth proportional to 10,559.84, 14,572.48 and 5,844 is: 8,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.84 : 14,572.48 = 5,844 : x
  2. Step 2: Convert to fraction form
    10,559.84/14,572.48 = 5,844/x
  3. Step 3: Cross multiply
    10,559.84x = 14,572.48 × 5,844
  4. Step 4: Simplify right side
    10,559.84x = 85,161,573.12
  5. Step 5: Solve for x
    x = 85,161,573.12/10,559.84
  6. Step 6: Final answer
    x = 8,064.67

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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.