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Finding the Fourth Proportional to 7,577.47, 10,454.01 and 4,743.67

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Solution

The fourth proportional to 7,577.47, 10,454.01 and 4,743.67 is: 6,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.47 : 10,454.01 = 4,743.67 : x
  2. Step 2: Convert to fraction form
    7,577.47/10,454.01 = 4,743.67/x
  3. Step 3: Cross multiply
    7,577.47x = 10,454.01 × 4,743.67
  4. Step 4: Simplify right side
    7,577.47x = 49,590,373.62
  5. Step 5: Solve for x
    x = 49,590,373.62/7,577.47
  6. Step 6: Final answer
    x = 6,544.45

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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.