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Finding the Fourth Proportional to 28,361.04, 42,541.56 and 7,584

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Solution

The fourth proportional to 28,361.04, 42,541.56 and 7,584 is: 11,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,361.04 : 42,541.56 = 7,584 : x
  2. Step 2: Convert to fraction form
    28,361.04/42,541.56 = 7,584/x
  3. Step 3: Cross multiply
    28,361.04x = 42,541.56 × 7,584
  4. Step 4: Simplify right side
    28,361.04x = 322,635,191.04
  5. Step 5: Solve for x
    x = 322,635,191.04/28,361.04
  6. Step 6: Final answer
    x = 11,376.00

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Why These Related Problems?

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