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Finding the Fourth Proportional to 7,748.66, 10,693.32 and 4,212.12

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Solution

The fourth proportional to 7,748.66, 10,693.32 and 4,212.12 is: 5,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.66 : 10,693.32 = 4,212.12 : x
  2. Step 2: Convert to fraction form
    7,748.66/10,693.32 = 4,212.12/x
  3. Step 3: Cross multiply
    7,748.66x = 10,693.32 × 4,212.12
  4. Step 4: Simplify right side
    7,748.66x = 45,041,547.04
  5. Step 5: Solve for x
    x = 45,041,547.04/7,748.66
  6. Step 6: Final answer
    x = 5,812.82

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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.