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Finding the Fourth Proportional to 28,338.12, 42,503.94 and 7,560

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Solution

The fourth proportional to 28,338.12, 42,503.94 and 7,560 is: 11,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,338.12 : 42,503.94 = 7,560 : x
  2. Step 2: Convert to fraction form
    28,338.12/42,503.94 = 7,560/x
  3. Step 3: Cross multiply
    28,338.12x = 42,503.94 × 7,560
  4. Step 4: Simplify right side
    28,338.12x = 321,329,786.40
  5. Step 5: Solve for x
    x = 321,329,786.40/28,338.12
  6. Step 6: Final answer
    x = 11,339.14

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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.