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Finding the Fourth Proportional to 28,583.52, 42,877.16 and 7,807

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Solution

The fourth proportional to 28,583.52, 42,877.16 and 7,807 is: 11,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,583.52 : 42,877.16 = 7,807 : x
  2. Step 2: Convert to fraction form
    28,583.52/42,877.16 = 7,807/x
  3. Step 3: Cross multiply
    28,583.52x = 42,877.16 × 7,807
  4. Step 4: Simplify right side
    28,583.52x = 334,741,988.12
  5. Step 5: Solve for x
    x = 334,741,988.12/28,583.52
  6. Step 6: Final answer
    x = 11,711.01

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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.