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Finding the Fourth Proportional to 7,458.54, 10,289.84 and 4,807.50

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Solution

The fourth proportional to 7,458.54, 10,289.84 and 4,807.50 is: 6,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.54 : 10,289.84 = 4,807.50 : x
  2. Step 2: Convert to fraction form
    7,458.54/10,289.84 = 4,807.50/x
  3. Step 3: Cross multiply
    7,458.54x = 10,289.84 × 4,807.50
  4. Step 4: Simplify right side
    7,458.54x = 49,468,381.76
  5. Step 5: Solve for x
    x = 49,468,381.76/7,458.54
  6. Step 6: Final answer
    x = 6,632.45

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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.