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Finding the Fourth Proportional to 28,477.84, 42,711.72 and 7,702.96

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Solution

The fourth proportional to 28,477.84, 42,711.72 and 7,702.96 is: 11,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,477.84 : 42,711.72 = 7,702.96 : x
  2. Step 2: Convert to fraction form
    28,477.84/42,711.72 = 7,702.96/x
  3. Step 3: Cross multiply
    28,477.84x = 42,711.72 × 7,702.96
  4. Step 4: Simplify right side
    28,477.84x = 329,006,670.69
  5. Step 5: Solve for x
    x = 329,006,670.69/28,477.84
  6. Step 6: Final answer
    x = 11,553.08

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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.