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Finding the Fourth Proportional to 7,302.89, 10,938.84 and 7,047.14

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Solution

The fourth proportional to 7,302.89, 10,938.84 and 7,047.14 is: 10,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.89 : 10,938.84 = 7,047.14 : x
  2. Step 2: Convert to fraction form
    7,302.89/10,938.84 = 7,047.14/x
  3. Step 3: Cross multiply
    7,302.89x = 10,938.84 × 7,047.14
  4. Step 4: Simplify right side
    7,302.89x = 77,087,482.22
  5. Step 5: Solve for x
    x = 77,087,482.22/7,302.89
  6. Step 6: Final answer
    x = 10,555.75

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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.