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Finding the Fourth Proportional to 7,598.07, 10,475.84 and 5,807.77

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Solution

The fourth proportional to 7,598.07, 10,475.84 and 5,807.77 is: 8,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.07 : 10,475.84 = 5,807.77 : x
  2. Step 2: Convert to fraction form
    7,598.07/10,475.84 = 5,807.77/x
  3. Step 3: Cross multiply
    7,598.07x = 10,475.84 × 5,807.77
  4. Step 4: Simplify right side
    7,598.07x = 60,841,257.61
  5. Step 5: Solve for x
    x = 60,841,257.61/7,598.07
  6. Step 6: Final answer
    x = 8,007.46

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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.