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Finding the Fourth Proportional to 28,587.34, 42,882.16 and 7,810.78

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Solution

The fourth proportional to 28,587.34, 42,882.16 and 7,810.78 is: 11,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,587.34 : 42,882.16 = 7,810.78 : x
  2. Step 2: Convert to fraction form
    28,587.34/42,882.16 = 7,810.78/x
  3. Step 3: Cross multiply
    28,587.34x = 42,882.16 × 7,810.78
  4. Step 4: Simplify right side
    28,587.34x = 334,943,117.68
  5. Step 5: Solve for x
    x = 334,943,117.68/28,587.34
  6. Step 6: Final answer
    x = 11,716.48

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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.