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Finding the Fourth Proportional to 28,359.04, 42,538.56 and 7,582

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Solution

The fourth proportional to 28,359.04, 42,538.56 and 7,582 is: 11,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,359.04 : 42,538.56 = 7,582 : x
  2. Step 2: Convert to fraction form
    28,359.04/42,538.56 = 7,582/x
  3. Step 3: Cross multiply
    28,359.04x = 42,538.56 × 7,582
  4. Step 4: Simplify right side
    28,359.04x = 322,527,361.92
  5. Step 5: Solve for x
    x = 322,527,361.92/28,359.04
  6. Step 6: Final answer
    x = 11,373.00

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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.