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Finding the Fourth Proportional to 7,592.94, 10,475.10 and 4,607.64

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Solution

The fourth proportional to 7,592.94, 10,475.10 and 4,607.64 is: 6,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.94 : 10,475.10 = 4,607.64 : x
  2. Step 2: Convert to fraction form
    7,592.94/10,475.10 = 4,607.64/x
  3. Step 3: Cross multiply
    7,592.94x = 10,475.10 × 4,607.64
  4. Step 4: Simplify right side
    7,592.94x = 48,265,489.76
  5. Step 5: Solve for x
    x = 48,265,489.76/7,592.94
  6. Step 6: Final answer
    x = 6,356.63

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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.