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Finding the Fourth Proportional to 7,357.12, 10,152.64 and 4,213.12

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Solution

The fourth proportional to 7,357.12, 10,152.64 and 4,213.12 is: 5,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.12 : 10,152.64 = 4,213.12 : x
  2. Step 2: Convert to fraction form
    7,357.12/10,152.64 = 4,213.12/x
  3. Step 3: Cross multiply
    7,357.12x = 10,152.64 × 4,213.12
  4. Step 4: Simplify right side
    7,357.12x = 42,774,290.64
  5. Step 5: Solve for x
    x = 42,774,290.64/7,357.12
  6. Step 6: Final answer
    x = 5,814.00

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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.