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Finding the Fourth Proportional to 7,655.76, 10,563.36 and 5,007.06

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Solution

The fourth proportional to 7,655.76, 10,563.36 and 5,007.06 is: 6,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.76 : 10,563.36 = 5,007.06 : x
  2. Step 2: Convert to fraction form
    7,655.76/10,563.36 = 5,007.06/x
  3. Step 3: Cross multiply
    7,655.76x = 10,563.36 × 5,007.06
  4. Step 4: Simplify right side
    7,655.76x = 52,891,377.32
  5. Step 5: Solve for x
    x = 52,891,377.32/7,655.76
  6. Step 6: Final answer
    x = 6,908.70

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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.