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Finding the Fourth Proportional to 7,923.42, 10,931.76 and 4,736.07

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Solution

The fourth proportional to 7,923.42, 10,931.76 and 4,736.07 is: 6,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.42 : 10,931.76 = 4,736.07 : x
  2. Step 2: Convert to fraction form
    7,923.42/10,931.76 = 4,736.07/x
  3. Step 3: Cross multiply
    7,923.42x = 10,931.76 × 4,736.07
  4. Step 4: Simplify right side
    7,923.42x = 51,773,580.58
  5. Step 5: Solve for x
    x = 51,773,580.58/7,923.42
  6. Step 6: Final answer
    x = 6,534.25

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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.