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Finding the Fourth Proportional to 28,314.57, 42,471.59 and 7,538.07

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Solution

The fourth proportional to 28,314.57, 42,471.59 and 7,538.07 is: 11,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,314.57 : 42,471.59 = 7,538.07 : x
  2. Step 2: Convert to fraction form
    28,314.57/42,471.59 = 7,538.07/x
  3. Step 3: Cross multiply
    28,314.57x = 42,471.59 × 7,538.07
  4. Step 4: Simplify right side
    28,314.57x = 320,153,780.74
  5. Step 5: Solve for x
    x = 320,153,780.74/28,314.57
  6. Step 6: Final answer
    x = 11,307.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.