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Finding the Fourth Proportional to 10,089.84, 15,130.72 and 5,938.24

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Solution

The fourth proportional to 10,089.84, 15,130.72 and 5,938.24 is: 8,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.84 : 15,130.72 = 5,938.24 : x
  2. Step 2: Convert to fraction form
    10,089.84/15,130.72 = 5,938.24/x
  3. Step 3: Cross multiply
    10,089.84x = 15,130.72 × 5,938.24
  4. Step 4: Simplify right side
    10,089.84x = 89,849,846.73
  5. Step 5: Solve for x
    x = 89,849,846.73/10,089.84
  6. Step 6: Final answer
    x = 8,904.98

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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.