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Finding the Fourth Proportional to 28,213.68, 42,320.70 and 7,437

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Solution

The fourth proportional to 28,213.68, 42,320.70 and 7,437 is: 11,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,213.68 : 42,320.70 = 7,437 : x
  2. Step 2: Convert to fraction form
    28,213.68/42,320.70 = 7,437/x
  3. Step 3: Cross multiply
    28,213.68x = 42,320.70 × 7,437
  4. Step 4: Simplify right side
    28,213.68x = 314,739,045.90
  5. Step 5: Solve for x
    x = 314,739,045.90/28,213.68
  6. Step 6: Final answer
    x = 11,155.55

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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.