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Finding the Fourth Proportional to 28,558.90, 42,838.34 and 7,782.40

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Solution

The fourth proportional to 28,558.90, 42,838.34 and 7,782.40 is: 11,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,558.90 : 42,838.34 = 7,782.40 : x
  2. Step 2: Convert to fraction form
    28,558.90/42,838.34 = 7,782.40/x
  3. Step 3: Cross multiply
    28,558.90x = 42,838.34 × 7,782.40
  4. Step 4: Simplify right side
    28,558.90x = 333,385,097.22
  5. Step 5: Solve for x
    x = 333,385,097.22/28,558.90
  6. Step 6: Final answer
    x = 11,673.60

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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.