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Finding the Fourth Proportional to 7,810.16, 11,715.46 and 3,066.12

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Solution

The fourth proportional to 7,810.16, 11,715.46 and 3,066.12 is: 4,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.16 : 11,715.46 = 3,066.12 : x
  2. Step 2: Convert to fraction form
    7,810.16/11,715.46 = 3,066.12/x
  3. Step 3: Cross multiply
    7,810.16x = 11,715.46 × 3,066.12
  4. Step 4: Simplify right side
    7,810.16x = 35,920,932.31
  5. Step 5: Solve for x
    x = 35,920,932.31/7,810.16
  6. Step 6: Final answer
    x = 4,599.26

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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.