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Finding the Fourth Proportional to 7,220.16, 10,805.76 and 4,586.40

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Solution

The fourth proportional to 7,220.16, 10,805.76 and 4,586.40 is: 6,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.16 : 10,805.76 = 4,586.40 : x
  2. Step 2: Convert to fraction form
    7,220.16/10,805.76 = 4,586.40/x
  3. Step 3: Cross multiply
    7,220.16x = 10,805.76 × 4,586.40
  4. Step 4: Simplify right side
    7,220.16x = 49,559,537.66
  5. Step 5: Solve for x
    x = 49,559,537.66/7,220.16
  6. Step 6: Final answer
    x = 6,864.05

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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.