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Finding the Fourth Proportional to 28,557.06, 42,835.53 and 7,780.50

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Solution

The fourth proportional to 28,557.06, 42,835.53 and 7,780.50 is: 11,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,557.06 : 42,835.53 = 7,780.50 : x
  2. Step 2: Convert to fraction form
    28,557.06/42,835.53 = 7,780.50/x
  3. Step 3: Cross multiply
    28,557.06x = 42,835.53 × 7,780.50
  4. Step 4: Simplify right side
    28,557.06x = 333,281,841.17
  5. Step 5: Solve for x
    x = 333,281,841.17/28,557.06
  6. Step 6: Final answer
    x = 11,670.73

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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.