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Finding the Fourth Proportional to 7,727.47, 10,655.91 and 6,612.10

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Solution

The fourth proportional to 7,727.47, 10,655.91 and 6,612.10 is: 9,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.47 : 10,655.91 = 6,612.10 : x
  2. Step 2: Convert to fraction form
    7,727.47/10,655.91 = 6,612.10/x
  3. Step 3: Cross multiply
    7,727.47x = 10,655.91 × 6,612.10
  4. Step 4: Simplify right side
    7,727.47x = 70,457,942.51
  5. Step 5: Solve for x
    x = 70,457,942.51/7,727.47
  6. Step 6: Final answer
    x = 9,117.85

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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.